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Finding the Fourth Proportional to 12,179.80, 18,255 and 5,596.96

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Solution

The fourth proportional to 12,179.80, 18,255 and 5,596.96 is: 8,388.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179.80 : 18,255 = 5,596.96 : x
  2. Step 2: Convert to fraction form
    12,179.80/18,255 = 5,596.96/x
  3. Step 3: Cross multiply
    12,179.80x = 18,255 × 5,596.96
  4. Step 4: Simplify right side
    12,179.80x = 102,172,504.80
  5. Step 5: Solve for x
    x = 102,172,504.80/12,179.80
  6. Step 6: Final answer
    x = 8,388.68

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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.