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Finding the Fourth Proportional to 11,424.43, 15,766.07 and 6,388.86

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Solution

The fourth proportional to 11,424.43, 15,766.07 and 6,388.86 is: 8,816.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.43 : 15,766.07 = 6,388.86 : x
  2. Step 2: Convert to fraction form
    11,424.43/15,766.07 = 6,388.86/x
  3. Step 3: Cross multiply
    11,424.43x = 15,766.07 × 6,388.86
  4. Step 4: Simplify right side
    11,424.43x = 100,727,213.98
  5. Step 5: Solve for x
    x = 100,727,213.98/11,424.43
  6. Step 6: Final answer
    x = 8,816.83

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Why These Related Problems?

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