Question

Fill in the blanks.

If $x,24,9,12$ are in proportion, then $x=$___________ .

Answer 1

Proportion :

When two ratios are equal in value, then they are said to be in proportion. In simple words, it compares two ratios. Proportions are denoted by the symbol ‘::’ or ‘=’.

Given, $x,24,9,12$ are in proportion.

So, $x:24=9:12$

We can write the above proportion as :

$\frac{x}{24}=\frac{9}{12}$

$\Rightarrow x\times 12=24\times 9$ (on cross multiplying)

$\Rightarrow 12x=216$

$\Rightarrow x=\frac{216}{12}$ (on transposing $12$ from L.H.S. to R.H.S.)

$\Rightarrow x=18$ (on dividing numerator and denominator by $12$)

Hence, the required value of $x$ is $18$.