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Finding the Fourth Proportional to 10,054, 15,082.68 and 3,127.12

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Solution

The fourth proportional to 10,054, 15,082.68 and 3,127.12 is: 4,691.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054 : 15,082.68 = 3,127.12 : x
  2. Step 2: Convert to fraction form
    10,054/15,082.68 = 3,127.12/x
  3. Step 3: Cross multiply
    10,054x = 15,082.68 × 3,127.12
  4. Step 4: Simplify right side
    10,054x = 47,165,350.28
  5. Step 5: Solve for x
    x = 47,165,350.28/10,054
  6. Step 6: Final answer
    x = 4,691.20

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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.