Worksheet: Proportions

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In this worksheet, we will practice getting an unknown value in a proportional relation using cross multiplication and applying that in real-life situations.

Q1:

Given that 819=4𝑦, which of the following expressions must be equal to 8×𝑦?

  • A19×4
  • B19×8
  • C8×4
  • D19×7

Q2:

35=⋯100.

Q3:

If 66𝑥=0.75, find the value of 𝑥.

Q4:

If 8 and 3 are in the same ratio as 96 and 𝑥, then find the value of 𝑥.

Q5:

The numbers 6 and 19 are in the same proportion as 𝑥 and 22. Calculate the value of 𝑥, giving your answer as a top heavy fraction in its simplest form.

  • A13219
  • B2093
  • C114
  • D132
  • E5711

Q6:

What is the value of 𝑥 if 3, 𝑥+6, 4, and 44 are in proportion?

Q7:

Which of the following shows a proportional relationship?

  • A47=2032
  • B58=2240
  • C34=2136
  • D49=1827
  • E35=2135

Q8:

If 7𝑥=4278, find the value of 𝑥.

Q9:

If 53=𝑥2.16, find the value of 𝑥.

Q10:

James ran 7 km in 45 minutes. How long would it take him to run 14 km at the same speed?

Q11:

It took Liam 30 minutes to bike 7 miles. At this rate, use a ratio table to find how long it would take him to bike for 21 miles.

Q12:

A person walks 10 kilometers in 40 minutes walking at a constant speed. If they continue walking at this speed, how long will it take them to walk 6 kilometers?

Q13:

Find the number that should be added to each of the numbers 32, 9, 22, and 4 to make them proportional.

Q14:

If 𝑎𝑏=𝑐𝑑, then 𝑎×𝑑=.

  • A𝑐𝑏
  • B𝑏×𝑑
  • C𝑏×𝑐
  • D𝑏𝑐

Q15:

Given that 𝑐4=2432, find the value of 𝑐.

Q16:

Given that 25=12𝑏, find the value of 𝑏.

Q17:

Fill in the blanks in the figure such that the corresponding numbers in the two rows are proportional.

  • A248, 34, 288, 40
  • B39, 280, 44, 328
  • C248, 2,176, 288, 2,560
  • D39, 264, 44, 312

Q18:

Complete the missing values in the figure below so that the corresponding numbers in the two columns are proportional.

  • A0.9, 0.99, 3.4, 0.9
  • B0.09, 0.99, 0.34, 0.09
  • C0.09, 0.99, 3.4, 0.09
  • D0.9, 9.9, 0.34, 0.9

Q19:

Fill in the blanks in the figure below to make the corresponding numbers in the two rows proportional.

  • A12, 32, 412, 51
  • B48, 32, 82, 51
  • C48, 8, 82, 514
  • D12, 8, 412, 514

Q20:

Fill in the blanks in the figure below to make the corresponding numbers in the two columns proportional.

  • A1.5, 4.2, 4.4, 1.5
  • B1.5, 0.42, 0.44, 1.5
  • C0.667, 4.2, 4.4, 0.667
  • D0.667, 0.42, 0.44, 0.667
  • E4.2, 1.5, 1.5, 4.4

Q21:

Fill in the blanks in the given figure such that the corresponding numbers in the two rows are proportional.

  • A10,110,1,900,10
  • B10,110,19,10
  • C54,65,136,54
  • D54,65,244,54

Q22:

Complete the missing values from left to right in the figure below so that the corresponding numbers in the two rows are proportional.

  • A25,11,485,52
  • B25,11,485,25
  • C52,4425,60,52
  • D52,4425,60,25

Q23:

Given that 𝑥15=𝑦5=𝑧7=7𝑥−6𝑦+4𝑧𝑎, calculate the value of 𝑎.

Q24:

Fill in the blanks: 52=15⋯=3⋯=⋯14=⋯8.

  • A6, 1.2, 37, 20
  • B37.5, 1.2, 35, 3.2
  • C37.5, 7.5, 35, 20
  • D6, 1.2, 5.6, 3.2

Q25:

If 2𝑎=9𝑏, determine 13𝑏2𝑎.

  • A913
  • B4117
  • C139
  • D1174

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