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Finding the Fourth Proportional to 18,481.80, 27,737.26 and 8,616

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Solution

The fourth proportional to 18,481.80, 27,737.26 and 8,616 is: 12,930.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,481.80 : 27,737.26 = 8,616 : x
  2. Step 2: Convert to fraction form
    18,481.80/27,737.26 = 8,616/x
  3. Step 3: Cross multiply
    18,481.80x = 27,737.26 × 8,616
  4. Step 4: Simplify right side
    18,481.80x = 238,984,232.16
  5. Step 5: Solve for x
    x = 238,984,232.16/18,481.80
  6. Step 6: Final answer
    x = 12,930.79

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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.