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Finding the Fourth Proportional to 10,459.50, 15,691.68 and 3,534

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Solution

The fourth proportional to 10,459.50, 15,691.68 and 3,534 is: 5,301.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.50 : 15,691.68 = 3,534 : x
  2. Step 2: Convert to fraction form
    10,459.50/15,691.68 = 3,534/x
  3. Step 3: Cross multiply
    10,459.50x = 15,691.68 × 3,534
  4. Step 4: Simplify right side
    10,459.50x = 55,454,397.12
  5. Step 5: Solve for x
    x = 55,454,397.12/10,459.50
  6. Step 6: Final answer
    x = 5,301.82

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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.