Joelle set up the following proportion: 4/6 = 5/x. Solve for x.
Determine if proportion is correct. If not, explain what is wrong with it.
Need the setup info to verify whether the proportion is set up correctly. Solution of this proportion:
x = (6 x 5)/4, so
x = 7.5
BD = 4
DA = 5
DE = 6
Solving for x
1. Joelle’s proportion is correct.
2. Joelle’s proportion is not correct because BD, which is 4, corresponds proportionally to BA, which is 9, not 5.
3. Joelle’s proportion is not correct because DE, which is 6, does not correspond proportionally to AC, which is x.
4. Joelle’s proportion is not correct because DE, which is 6, corresponds proportionally to BA, which is x + 6, not x.
To solve the proportion 4/6 = 5/x, we can cross multiply and then solve for x.
Cross multiplying means multiplying the numerator of the first fraction by the denominator of the second fraction, and multiplying the denominator of the first fraction by the numerator of the second fraction. It can be written as:
(4 * x) = (6 * 5)
4x = 30
Now we can isolate x by dividing both sides of the equation by 4:
x = 30/4
x = 7.5
Therefore, the value of x is 7.5.
To determine if the proportion is correct, we can substitute the value of x back into the original equation and check if both sides of the equation are equal:
4/6 = 5/7.5
To simplify the left side, we can reduce the fraction:
2/3 = 5/7.5
To compare the fractions, we can convert both fractions to decimal form:
2/3 ≈ 0.6667
5/7.5 ≈ 0.6667
Since both sides of the equation are approximately equal to 0.6667, we can conclude that the proportion 4/6 = 5/x is correct.
There is nothing wrong with the proportion.