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Determine if the following are in proportion.15, 45, 40, 120

Last updated date: 21st Mar 2023
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Hint: Take 15 and 45 find the ratio. Similarly, find the ratio of 40 and 120 and prove their ratio is the same.

For example if $\dfrac{a}{b}=\dfrac{c}{d}$and is a proportion, then both $\dfrac{d}{b}=\dfrac{c}{a}$and $\dfrac{a}{c}=\dfrac{b}{d}$are in proportion.
Let’s take the ratio of 15 and 45 $=\dfrac{15}{45}=\dfrac{1}{3}$
$\therefore$Ratio of 15 and 45 = 1:3
Now take the ratio of 40 and 120 $=\dfrac{40}{120}=\dfrac{1}{3}$
$\therefore$Ratio of 40 and 120 = 1:3
$\therefore 15:45=40:120$
$\therefore$15, 45, 40 and 120 are in proportion.