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Finding the Fourth Proportional to 14,131, 19,500.78 and 8,542

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Solution

The fourth proportional to 14,131, 19,500.78 and 8,542 is: 11,787.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131 : 19,500.78 = 8,542 : x
  2. Step 2: Convert to fraction form
    14,131/19,500.78 = 8,542/x
  3. Step 3: Cross multiply
    14,131x = 19,500.78 × 8,542
  4. Step 4: Simplify right side
    14,131x = 166,575,662.76
  5. Step 5: Solve for x
    x = 166,575,662.76/14,131
  6. Step 6: Final answer
    x = 11,787.96

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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.