Question

Solve proportion using the multiplication property of equality 3/4=x/5

Answer 1

Question:

solve proportion using the multiplication property of equality

3/4=x/5​.

Solution:

Remember that when you divide or multiply both sides of an equation by the same quantity, you still have equality. This principle is called the multiplication property of equality. So, applying this property we have

`(3)/(4)\text{ = }(x)/(5)`

if we multiply both sides of the equation by 4/3 we obtain the equivalent:

`(3)/(4)\text{ . }(4)/(3)\text{= }(x)/(5)\text{ . }(4)/(3)`

this is equivalent to:

`1\text{= }x\text{ . }(4)/(15)`

now, if we multiply both sides of the equation by 15/4 we obtain the equivalent:

`1.(15)/(4)\text{= }x\text{ . }(4)/(15)\text{.}(15)/(4)`

this is equivalent to:

`(15)/(4)\text{= }x\text{ . }1`

that is:

`(15)/(4)\text{= }x`

Then, we can conclude that the solution is:

`x=(15)/(4)`