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Finding the Fourth Proportional to 10,691, 16,034.30 and 4,114.92

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Solution

The fourth proportional to 10,691, 16,034.30 and 4,114.92 is: 6,171.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691 : 16,034.30 = 4,114.92 : x
  2. Step 2: Convert to fraction form
    10,691/16,034.30 = 4,114.92/x
  3. Step 3: Cross multiply
    10,691x = 16,034.30 × 4,114.92
  4. Step 4: Simplify right side
    10,691x = 65,979,861.76
  5. Step 5: Solve for x
    x = 65,979,861.76/10,691
  6. Step 6: Final answer
    x = 6,171.53

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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.