Lesson Worksheet: Proportions Mathematics • 7th Grade

In this worksheet, we will practice using properties of proportions to find an unknown value in a proportional relationship and prove algebraic statements.

Q1:

Given that , which of the following expressions must be equal to ?

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?

Q8:

If , find the value of .

Q9:

If , find the value of .

Q10:

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

Q11:

It took Benjamin 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 .

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.

Q22:

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

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 .