If $3 : x :: 12 : 20,$ find the value of $x ?$

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Solution

We have $3 : x :: 12 : 20$

$\Rightarrow 3, x, 12, 20$ are in proportion.

$\Rightarrow$ Product of extremes $=$ Product of means

$\Rightarrow 3 \times 20 = x \times 12$

$\Rightarrow 60 = 12 x$

$\Rightarrow x = \frac{60}{12} = 5$

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