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Finding the Fourth Proportional to 18,909.92, 28,372.98 and 7,824.66

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Solution

The fourth proportional to 18,909.92, 28,372.98 and 7,824.66 is: 11,740.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,909.92 : 28,372.98 = 7,824.66 : x
  2. Step 2: Convert to fraction form
    18,909.92/28,372.98 = 7,824.66/x
  3. Step 3: Cross multiply
    18,909.92x = 28,372.98 × 7,824.66
  4. Step 4: Simplify right side
    18,909.92x = 222,008,921.69
  5. Step 5: Solve for x
    x = 222,008,921.69/18,909.92
  6. Step 6: Final answer
    x = 11,740.34

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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.