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Finding the Fourth Proportional to 38,469.60, 57,709.80 and 12,171.60

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Solution

The fourth proportional to 38,469.60, 57,709.80 and 12,171.60 is: 18,259.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,469.60 : 57,709.80 = 12,171.60 : x
  2. Step 2: Convert to fraction form
    38,469.60/57,709.80 = 12,171.60/x
  3. Step 3: Cross multiply
    38,469.60x = 57,709.80 × 12,171.60
  4. Step 4: Simplify right side
    38,469.60x = 702,420,601.68
  5. Step 5: Solve for x
    x = 702,420,601.68/38,469.60
  6. Step 6: Final answer
    x = 18,259.11

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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.