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Finding the Fourth Proportional to 39,869.80, 59,783.10 and 16,469.80

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Solution

The fourth proportional to 39,869.80, 59,783.10 and 16,469.80 is: 24,695.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,869.80 : 59,783.10 = 16,469.80 : x
  2. Step 2: Convert to fraction form
    39,869.80/59,783.10 = 16,469.80/x
  3. Step 3: Cross multiply
    39,869.80x = 59,783.10 × 16,469.80
  4. Step 4: Simplify right side
    39,869.80x = 984,615,700.38
  5. Step 5: Solve for x
    x = 984,615,700.38/39,869.80
  6. Step 6: Final answer
    x = 24,695.78

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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.