Question

Solve for x. 3:12 = x:16 9/4 4 64

Answer 1

Answer:  The required value of x is 4.

Step-by-step explanation:  We are given to solve the following equation for the value of x :

$3:12=x:16~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We know that

$a:b=\dfrac{a}{b}.$

So, from equation (i), we get

$3:12=x:16\\\\\\\Rightarrow \dfrac{3}{12}=\dfrac{x}{16}\\\\\\\Rightarrow \dfrac{1}{4}=\dfrac{x}{16}\\\\\\\Rightarrow x=\dfrac{16}{4}\\\\\Rightarrow x=4.$

Thus, the required value of x is 4.

Answer 2

You have
  3/12 = x/16
Multiply by 16
  16*(3/12) = x = 4

x = 4