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Finding the Fourth Proportional to 14,755.90, 20,363.12 and 8,787.82

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Solution

The fourth proportional to 14,755.90, 20,363.12 and 8,787.82 is: 12,127.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,755.90 : 20,363.12 = 8,787.82 : x
  2. Step 2: Convert to fraction form
    14,755.90/20,363.12 = 8,787.82/x
  3. Step 3: Cross multiply
    14,755.90x = 20,363.12 × 8,787.82
  4. Step 4: Simplify right side
    14,755.90x = 178,947,433.20
  5. Step 5: Solve for x
    x = 178,947,433.20/14,755.90
  6. Step 6: Final answer
    x = 12,127.18

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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.