Worksheet: Solving Proportions

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 8 1 9 = 4 𝑦 , which of the following expressions must be equal to 8 × 𝑦 ?

  • A 1 9 × 8
  • B 8 × 4
  • C 1 9 × 7
  • D 1 9 × 4

Q2:

3 5 = 1 0 0 .

Q3:

If 6 6 𝑥 = 0 . 7 5 , 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.

  • A 2 0 9 3
  • B 5 7 1 1
  • C 132
  • D 1 3 2 1 9
  • E 114

Q6:

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

  • A39
  • B33
  • C126
  • D27

Q7:

Which of the following shows a proportional relationship?

  • A 5 8 = 2 2 4 0
  • B 4 7 = 2 0 3 2
  • C 3 4 = 2 1 3 6
  • D 3 5 = 2 1 3 5
  • E 4 9 = 1 8 2 7

Q8:

If 7 𝑥 = 4 2 7 8 , find the value of 𝑥 .

Q9:

If 5 3 = 𝑥 2 . 1 6 , find the value of 𝑥 .

Q10:

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

Q11:

It took Amir 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 kilometres in 40 minutes walking at a constant speed. If they continue walking at this speed, how long will it take them to walk 6 kilometres?

  • A 4 minutes
  • B 240 minutes
  • C 16 minutes
  • D 24 minutes
  • E 60 minutes

Q13:

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

Q14:

If 𝑎 𝑏 = 𝑐 𝑑 , then 𝑎 × 𝑑 = .

  • A 𝑏 𝑐
  • B 𝑏 × 𝑑
  • C 𝑐 𝑏
  • D 𝑏 × 𝑐

Q15:

Given that 𝑐 4 = 2 4 3 2 , find the value of 𝑐 .

Q16:

Given that , find the value of .

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