Question

# If $12:3::x:1$,find the value of $x$ and choose the correct option;${\text{A}}{\text{. }}\dfrac{1}{4} \\ {\text{B}}{\text{. 1}} \\ {\text{C}}{\text{. 4}} \\ {\text{D}}{\text{. 5}} \\$

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Hint: In this question we have to find the value of $x$, the key concept will be to simplify the given equation $12:3::x:1$ by using the concept of ratio and proportion to get the right answer.

We have been given that $12:3::x:1$………… (1)
$\Rightarrow \dfrac{{12}}{3} = \dfrac{x}{1}$………. (2)
$\Rightarrow \dfrac{{12}}{3} = \dfrac{x}{1} \\ \Rightarrow x = 4 \\$
Hence the value of $x$ is equal to 4.