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Finding the Fourth Proportional to 11,472.62, 15,831.96 and 6,436.76

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Solution

The fourth proportional to 11,472.62, 15,831.96 and 6,436.76 is: 8,882.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,472.62 : 15,831.96 = 6,436.76 : x
  2. Step 2: Convert to fraction form
    11,472.62/15,831.96 = 6,436.76/x
  3. Step 3: Cross multiply
    11,472.62x = 15,831.96 × 6,436.76
  4. Step 4: Simplify right side
    11,472.62x = 101,906,526.85
  5. Step 5: Solve for x
    x = 101,906,526.85/11,472.62
  6. Step 6: Final answer
    x = 8,882.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.