Question

frist , second, third term of a proportion are 21, 49 and 33 respectively. find its fourth term​

Answer 1

GIVEN:-

• frist , second, third term of a proportion are 21, 49 and 33 respectively. find its fourth term.

TO FIND:-

• The fourth term.

SOLUTION:-

Hey hate! mate to find fourth term we will apply the rule.

• Product of means=Product of Extremes.

Now as we don't know the 4th term we will let if be x.

hey mate! Now first as we don't know the 4th her we will first find product of means.

• so, =>21x=49×33

On multiplying 49×33 (Means) we get 1617 as product.

• =>21x=1617

Now as 21 is a constant so it needs to be moved to R.H.S. and while changing place we also change sign so 21 will be divided instead of multiplying.

• =>x=1617/21

on division we get 77 as quotient making it the 4th term

• =>x=77

:.4th term is 77.

VARIFYING:-

Now insert 77 in place of x.

• =>21×77=49×33

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 21 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \times 77 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - - - - \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 147 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:1470 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - - - - \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 1617 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - - - -$

• =>1617=1617

• =>0=0

L.H.S.=R.H.S.

hence proved!

hope it helped!

Answer 2

SOLUTION:-

Hey hate! mate to find fourth term we will apply the rule.

Product of means=Product of Extremes.

Now as we don't know the 4th term we will let if be x.

hey mate! Now first as we don't know the 4th her we will first find product of means.

• so, =>21x=49×33

On multiplying 49×33 (Means) we get 1617 as product.

• =>21x=1617

Now as 21 is a constant so it needs to be moved to R.H.S. and while changing place we also change sign so 21 will be divided instead of multiplying.

• =>x=1617/21

on division we get 77 as quotient making it the 4th term

• =>x=77

:.4th term is 77.

hope it helped!