Question

The first, third and the fourth terms of a proportion are $6,36,and48,$ respectively. Find the second term.

Answer 1

Here given that,

first, third and fourth terms of a proportion are $6,36,and48,$

So, now let the second proportion be $x$

Then, the proportion be $6:x::36:48$

Now, if $a:b::c:d$be in proportion then

$a\times d=b\times c$ --------------------------------$eq\left(1\right)$

so, now in $6:x::36:48$

$a=6,b=x,c=36,d=48$

So, by $eq\left(1\right)$ we have,

$$\begin{gathered} \Rightarrow 6\times 48=x\times 36 \\ \Rightarrow 36x=288 \\ \Rightarrow x=\frac{288}{36} \\ \Rightarrow x=8 \end{gathered}$$

Hence, the second term be $8$