What is the fourth proportional to 24, 120 an | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Let the fourth proportional be $d$.According to the definition of proportion,for four numbers $a, b, c, d$ to be in proportion,the ratio of the fi

Vedclass · Accepted Answer

$110$

Vedclass · Answer

(A) Let the fourth proportional be $d$.According to the definition of proportion,for four numbers $a, b, c, d$ to be in proportion,the ratio of the first two must equal the ratio of the last two: $a : b :: c : d$.Substituting the given values: $24 : 120 :: 22 : d$.This can be written as the equation: $\frac{24}{120} = \frac{22}{d}$.Simplifying the fraction on the left side: $\frac{1}{5} = \frac{22}{d}$.Cross-multiplying to solve for $d$: $d = 22 	imes 5 = 110$.Therefore,the fourth proportional is $110$.

What is the fourth proportional to $24, 120$ and $22$?

Similar Questions

The ratio of the present ages of Sita and Gita is $4:3$. If $4$ years ago,the ratio of their ages was $2:1$,the present age of Sita is (in years):

The ratio of the ages of Ram and Rahim $10 \text{ yr}$ ago was $1:3$. The ratio of their ages $5 \text{ yr}$ hence will be $2:3$. Then,the ratio of their present ages is:

What is the fourth proportional to $189, 273$ and $153$?

The ratio of two numbers is $3:5$. If both numbers are increased by $8$,the ratio becomes $13:18$. What is the sum of the two numbers?

The income of $A, B$ and $C$ are in the ratio $7: 9: 12$ and their spendings are in the ratio $8: 9: 15$. If $A$ saves $\frac{1}{4}$th of his income,then the savings of $A, B$ and $C$ are in the ratio of:

Vedclass Test Series

Exam Paper Generator

Online Exam Module