Question

find the value of the x in each of the following proportions - (1) x:4=6:8 , (2) 14:x=7:9 , (3) 4:6=x:18​

Answer 1

Answer:

◇ Given:

(1) x:4=6:8

(2) 14:x=7:9

(3) 4:6=x:18

◇ To find:

The value of x in each of the following proportion .

◇ Taken:

Divide both the proportions to find the value of x .

◇ Solution:

Number 1:

$1)=\frac{x}{4}=\frac{6}{8}$

$1) = \frac{6}{8}÷\frac{x}{4}$

$1) = \frac{6}{8}×\frac{4}{x}$

$1) = x = 3$

Number 2:

$2)=\frac{14}{x}=\frac{7}{9}$

$2)=\frac{7}{9}÷\frac{14}{x}$

$2)=\frac{7}{9}×\frac{x}{14}$

$2)=x=18$

Number 3:

$3)=\frac{4}{6}=\frac{x}{18}$

$3)=\frac{x}{18}÷\frac{4}{6}$

$3)=\frac{x}{18}×\frac{6}{4}$

$3)=x=12$

◇ Answer:

1) = 3:4=6:8

2) = 14:18=7:9

3) = 4:6=12:18

◇ Extra information:

To find area of triangle:

$At=\frac{H×B}{2}$

Where,

At = Area of the triangle

H = Height

B = Base

To find area of the rectangle:

$Ar=L×Br$

Ar = Area of the rectangle

L = Length

Br = Breadth

To find area of the square:

$As=S×S$

As = Area of the square

S = One side of the square

Answer 2

Answer:

1.x:4=6:8

=>x/4=6/8

=>x=6/8×4=3.

2.

14:x=7:9

14/x=7/9

x=14×9/7=18

3. 4:6=x:18

=>4/6=x/18

=>x=4/6×18=12