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Finding the Fourth Proportional to 38,440.40, 57,662.40 and 12,147.20

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Solution

The fourth proportional to 38,440.40, 57,662.40 and 12,147.20 is: 18,221.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,440.40 : 57,662.40 = 12,147.20 : x
  2. Step 2: Convert to fraction form
    38,440.40/57,662.40 = 12,147.20/x
  3. Step 3: Cross multiply
    38,440.40x = 57,662.40 × 12,147.20
  4. Step 4: Simplify right side
    38,440.40x = 700,436,705.28
  5. Step 5: Solve for x
    x = 700,436,705.28/38,440.40
  6. Step 6: Final answer
    x = 18,221.37

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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.