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Finding the Fourth Proportional to 10,657.20, 15,978 and 5,105.76

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Solution

The fourth proportional to 10,657.20, 15,978 and 5,105.76 is: 7,654.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.20 : 15,978 = 5,105.76 : x
  2. Step 2: Convert to fraction form
    10,657.20/15,978 = 5,105.76/x
  3. Step 3: Cross multiply
    10,657.20x = 15,978 × 5,105.76
  4. Step 4: Simplify right side
    10,657.20x = 81,579,833.28
  5. Step 5: Solve for x
    x = 81,579,833.28/10,657.20
  6. Step 6: Final answer
    x = 7,654.90

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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.