Question

What is the solution of the proportion 3/5 = 13/x?

Answer 1

The solution of the proportion 3/5 = 13/x is x = 65/3 or approximately 21.67.

Step-by-step explanation:

To find the solution of the proportion 3/5 = 13/x, we can cross multiply. This gives us 3x = 65. Next, we solve for x by dividing both sides of the equation by 3. So, x = 65/3 or approximately 21.67.

Answer 2

The solution to the proportion 3/5 = 13/x is x = 21.67.The solution arises from the fundamental principle of cross-multiplication, which asserts that the product of the extremes equals the product of the means in a proportion.

Step-by-step explanation:

To find the value of x in the proportion 3/5 = 13/x, we can use cross-multiplication. Cross-multiplication involves multiplying the numerator of the first fraction by the denominator of the second fraction and vice versa.

The proportion is:

`\[ (3)/(5) = (13)/(x) \]`

Cross-multiplying gives:

`\[ 3 * x = 5 * 13 \]`

Simplifying further:

3x = 65

Now, solve for x:

`\[ x = (65)/(3) \]`

Calculating the decimal value:

`\[ x \approx 21.67 \]`

Therefore, the solution to the proportion is ( x = 21.67 ). This means that when 3 is to 5 as 13 is to x, the value of x that maintains the proportion is approximately 21.67.