Question

Find the value of x in the proportion 12 : 15 : : 16 : x (1) (a) 18 (b) 24 (c) 20 (d) 28 ​

Answer 1

Answer:

The answer is (c) 20

Step-by-step explanation:

Given, 12 : 15 : : 16 : x

⇒ 12/15 = 16/x

⇒ x = (16×15)/12

⇒ x = 20

∴ Ans: (c) 20

Answer 2

To find : the value of $x$ .

Given ratio : $12: 15:: 16: x$

Solution :

• As we can see that in the given ratio of proportion forth ratio is missing.

• To find forth ratio we can write $12: 15:: 16: x$  as, $\frac{12}{15}=\frac{16}{x}$

• Transposing like terms we get,

     $\Rightarrow \quad x=\frac{16 \times 15}{12}$

• On simplifying we get,

     $\begin{array}{l}\Rightarrow x= 4\times 5\\\Rightarrow x=20 \end{array}$

Hence, value of $x$ is $20$ . Therefore , option c)$20$ is correct  .