You entered the following equivalent proportions:
| 1 | |
| 2 |
| = |
| 4 |
| 2z |
Define the proportion formula:
If 2 proportions are equal:
we can cross multiply to get:
Numerator 1 Denominator 1
=
Numerator 2 Denominator 2 Numerator 1 * Denominator 2 = Denominator 1 * Numerator 2
Solving for Denominator 2 we get:
| Denominator 2 = | Denominator 1 * Numerator 2 |
| Numerator 1 |
Evaluate and simplfy
| 2z = | 2 * 4 |
| 1 |
| 2z = | 8 |
| 1 |
2z = 8
Divide each side by 2
| 2z | |
| 2 |
| = |
| 8 |
| 2 |
Final Answer
z = 4
Common Core State Standards In This Lesson
CCSS.MATH.CONTENT.7.RP.A.2
What is the Answer?
z = 4
How does the Proportion Calculator work?
Free Proportion Calculator - 1) Calculates the missing link of 2 equivalent proportions or ratios.
2) Also determines if two numerical proportions that you entered such as 1/10=6/12 are equivalent or not equivalent. Note: You can use all allowable operators such as =,<,≤,>,≥
This calculator has 4 inputs.
2) Also determines if two numerical proportions that you entered such as 1/10=6/12 are equivalent or not equivalent. Note: You can use all allowable operators such as =,<,≤,>,≥
This calculator has 4 inputs.
What 3 formulas are used for the Proportion Calculator?
a/b=c/d
ad=bc
ad=bc
What 3 concepts are covered in the Proportion Calculator?
- equivalent
- equal in value, amount, function, meaning
- proportion
- n equation in which two ratios are set equal to each other
a/b = c/d - ratio
- indicates how many times one number contains another
