Question

thefirst, third and fourth term
of a propotion
are 24, 6 and 3. Find the
scond term​

Answer 1

Answer

Second term = 12

Given

First , third and fourth term of a proportion are 24 , 6 and 3

To Find

Second term

Point to be noted

If a , b , c , d are in proportion ,

$\to \rm \dfrac{a}{b}=\dfrac{c}{d}$

Solution

First term = 24

Second term = ?

Third term = 6

Fourth term = 3

So ,

$\to \rm \dfrac{24}{?}=\dfrac{6}{3}\\\\\to \rm \dfrac{24}{?}=2\\\\\to \rm ?=\dfrac{24}{2}\\\\\to \rm ?=12$

So , second term = ? = 12

Answer 2

Step-by-step explanation:

$\bf{\underline{\underline\red{Given:-}}}$

• The terms of the proportion.

• 1st term = 24

• 3rd term = 6

• 4th term = 3.

$\bf{\underline{\underline\blue{To\:Find:-}}}$

• The second term of the proportion.

$\bf{\underline{\underline\green{Solution:-}}}$

Let the second term of the proportion be x

i.e

24 : x :: 6 : 3

As we know that in the proportion of

a : b :: c : d

$\boxed{ \rm a \times c = b \times d }$

Here:-

• a = first term = 24

• b = second term = x

• c = Third term = 6

• d = fourth term = 3

Substituting the values:-

$\longrightarrow\rm a \times d= b \times c$

$\longrightarrow\rm 24\times 3 = x\times 6$

$\longrightarrow\rm \dfrac{ 24\times 3}{6} = x$

$\longrightarrow\rm \dfrac{24}{2} = x$

$\longrightarrow\rm 12= x$

$\longrightarrow\rm x= 12$

Therefore:-

$\underline{\boxed{ \longrightarrow\rm Second \: term= 12}}$