Finding the Fourth Proportional to 2,077.62, 3,116.50 and 538.62
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Solution
The fourth proportional to 2,077.62, 3,116.50 and 538.62 is: 807.95
Step by Step Solution
- Step 1: Write the proportion equation
2,077.62 : 3,116.50 = 538.62 : x - Step 2: Convert to fraction form
2,077.62/3,116.50 = 538.62/x - Step 3: Cross multiply
2,077.62x = 3,116.50 × 538.62 - Step 4: Simplify right side
2,077.62x = 1,678,609.23 - Step 5: Solve for x
x = 1,678,609.23/2,077.62 - Step 6: Final answer
x = 807.95
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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.