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Finding the Fourth Proportional to 38,428.40, 57,644.40 and 12,135.20

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Solution

The fourth proportional to 38,428.40, 57,644.40 and 12,135.20 is: 18,203.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,428.40 : 57,644.40 = 12,135.20 : x
  2. Step 2: Convert to fraction form
    38,428.40/57,644.40 = 12,135.20/x
  3. Step 3: Cross multiply
    38,428.40x = 57,644.40 × 12,135.20
  4. Step 4: Simplify right side
    38,428.40x = 699,526,322.88
  5. Step 5: Solve for x
    x = 699,526,322.88/38,428.40
  6. Step 6: Final answer
    x = 18,203.37

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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.