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Finding the Fourth Proportional to 39,882.80, 59,822.04 and 12,180.80

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Solution

The fourth proportional to 39,882.80, 59,822.04 and 12,180.80 is: 18,270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,882.80 : 59,822.04 = 12,180.80 : x
  2. Step 2: Convert to fraction form
    39,882.80/59,822.04 = 12,180.80/x
  3. Step 3: Cross multiply
    39,882.80x = 59,822.04 × 12,180.80
  4. Step 4: Simplify right side
    39,882.80x = 728,680,304.83
  5. Step 5: Solve for x
    x = 728,680,304.83/39,882.80
  6. Step 6: Final answer
    x = 18,270.54

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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.