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Finding the Fourth Proportional to 10,493.52, 15,739.92 and 3,917.76

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Solution

The fourth proportional to 10,493.52, 15,739.92 and 3,917.76 is: 5,876.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.52 : 15,739.92 = 3,917.76 : x
  2. Step 2: Convert to fraction form
    10,493.52/15,739.92 = 3,917.76/x
  3. Step 3: Cross multiply
    10,493.52x = 15,739.92 × 3,917.76
  4. Step 4: Simplify right side
    10,493.52x = 61,665,228.98
  5. Step 5: Solve for x
    x = 61,665,228.98/10,493.52
  6. Step 6: Final answer
    x = 5,876.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.