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Finding the Fourth Proportional to 11,187.28, 16,781.43 and 7,915

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Solution

The fourth proportional to 11,187.28, 16,781.43 and 7,915 is: 11,872.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,187.28 : 16,781.43 = 7,915 : x
  2. Step 2: Convert to fraction form
    11,187.28/16,781.43 = 7,915/x
  3. Step 3: Cross multiply
    11,187.28x = 16,781.43 × 7,915
  4. Step 4: Simplify right side
    11,187.28x = 132,825,018.45
  5. Step 5: Solve for x
    x = 132,825,018.45/11,187.28
  6. Step 6: Final answer
    x = 11,872.86

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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.