# Worksheet: Solving Proportions with 3 Ratios

In this worksheet, we will practice finding unknown information when two or three proportions are compared.

Q1:

Given that , find the values of and .

• A and
• B and
• C and
• D and

Q2:

Fill in the blanks: .

• A37.5, 7.5, 35, 20
• B37.5, 1.2, 35, 3.2
• C6, 1.2, 5.6, 3.2
• D6, 1.2, 37, 20

Q3:

If , use the method of cross multiplication to find the missing numbers.

• A
• B
• C
• D

Q4:

If , find .

• A
• B
• C3
• D

Q5:

If , determine .

• A
• B
• C
• D

Q6:

Given that , calculate the value of .

Q7:

If , determine the value of .

• A 1 334
• B
• C
• D

Q8:

Given that the ratio is the same as , determine the value of .

Q9:

If , find the value of .

Q10:

If , find the value of .

Q11:

Given that , determine the solution set of the equation .

• A
• B
• C
• D

Q12:

Given that , find the values of and .

• A and
• B and
• C and
• D and

Q13:

If , determine the value of where both and .

• A
• B
• C
• D

Q14:

If , find the value of .

Q15:

If , find the value of .

Q16:

If , find the value of .

Q17:

In the box below, corresponding numbers on each row are proportional. Find the values of and .

 3 13 𝑎 15 𝑏 5
• A ,
• B ,
• C ,
• D ,

Q18:

What is the value of , the first proportional of the numbers , , 15 and ?

Q19:

If , then . Find the missing term.

• A
• B
• C
• D

Q20:

If , where and , find the value of .

• A
• B
• C
• D

Q21:

.

• A
• B
• C
• D

Q22:

Fill in the blanks: .

• A300, 6.67, 40, 100
• B300, 0.6, 40, 9
• C27, 0.6, 3.6, 9
• D27, 0.6, 43, 100

Q23:

Fill in the blanks: .

• A58.33, 16.67, 20, 45
• B58.33, 6, 20, 16.2
• C21, 6, 7.2, 16.2
• D21, 6, 21, 45

Q24:

Fill in the blanks: .

• A115.2, 9.6, 22.4, 48
• B115.2, 3.75, 22.4, 18.75
• C45, 3.75, 8.75, 18.75
• D45, 3.75, 23, 48

Q25:

Fill in the blanks: .

• A72, 3.6, 18, 24
• B72, 2.5, 18, 16.67
• C50, 2.5, 12.5, 16.67
• D50, 2.5, 19, 24

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