Determine if the following numbers are in proportion:

15, 45, 40, 120

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Solution

If two ratios are equal, we say that they are in proportion.

Ratio of 15 to 45 = $\frac{15}{45}$ = 1 : 3

Ratio of 40 to 120 = $\frac{40}{120}$ = 1 : 3

Since the simplest form of the ratios 15 : 45 and 40 : 120 are equal ,15, 45, 40, 120 are in proportion

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5 : x = 20 : 24 \Rightarrow \frac{5}{x} = \frac{20}{24} \Rightarrow x \times 20 = 5 \times 24 \Rightarrow 20 x = 120 \Rightarrow x = \frac{120}{20} \Rightarrow x = \frac{6}{1} \Rightarrow x = 6

15, 45, 40, 120

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