# Worksheet: 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 , which of the following expressions must be equal to ?

• A
• B
• C
• D

Q2:

.

Q3:

If , find the value of .

Q4:

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

Q5:

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

• A
• B
• C114
• D132
• E

Q6:

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

Q7:

Which of the following shows a proportional relationship?

• A
• B
• C
• D
• E

Q8:

If , find the value of .

Q9:

If , find the value of .

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 , then .

• A
• B
• C
• D

Q15:

Given that , find the value of .

Q16:

Given that , find the value of .

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, , 51
• B48, 32, 82, 51
• C48, 8, 82,
• D12, 8, ,

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. • A
• B
• C
• D

Q22:

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

Q23:

Given that , calculate the value of .

Q24:

Fill in the blanks: .

• 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 , determine .

• A
• B
• C
• D