Finding the Fourth Proportional to 2,002.14, 3,002.30 and 614.99
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Solution
The fourth proportional to 2,002.14, 3,002.30 and 614.99 is: 922.21
Step by Step Solution
- Step 1: Write the proportion equation
2,002.14 : 3,002.30 = 614.99 : x - Step 2: Convert to fraction form
2,002.14/3,002.30 = 614.99/x - Step 3: Cross multiply
2,002.14x = 3,002.30 × 614.99 - Step 4: Simplify right side
2,002.14x = 1,846,388.91 - Step 5: Solve for x
x = 1,846,388.91/2,002.14 - Step 6: Final answer
x = 922.21
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.