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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 Γ— 𝑦 ?

  • A 1 9 Γ— 8
  • B 8 Γ— 4
  • C 1 9 Γ— 7
  • D 1 9 Γ— 4

Q2:

3 5 = β‹― 1 0 0 .

Q3:

If 6 6 π‘₯ = 0 . 7 5 , find the value of π‘₯ .

Q4:

If 2 6 π‘₯ = 0 . 5 , find the value of π‘₯ .

Q5:

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

Q6:

The numbers 6 and 19 are in the same proportion as π‘₯ and 22. Calculate the value of π‘₯ , 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

Q7:

The velocity 𝑣 of a falling object varies directly with the time, 𝑑 , of the fall. If, after 2 seconds, the velocity of the object is 64 feet per second, what is the velocity after 5 seconds?

Q8:

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

Q9:

Given that , find the value of .

Q10:

If 7 π‘₯ = 4 2 7 8 , find the value of π‘₯ .

Q11:

If π‘Ž 𝑏 = 𝑐 𝑑 , then π‘Ž Γ— 𝑑 = .

  • A 𝑏 𝑐
  • B 𝑏 Γ— 𝑑
  • C 𝑐 𝑏
  • D 𝑏 Γ— 𝑐

Q12:

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.

Q13:

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

Q14:

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?

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

Q15:

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

Q16:

If 5 3 = π‘₯ 2 . 1 6 , find the value of π‘₯ .

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