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Finding the Fourth Proportional to 38,490.40, 57,724.80 and 12,203.20

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Solution

The fourth proportional to 38,490.40, 57,724.80 and 12,203.20 is: 18,301.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,490.40 : 57,724.80 = 12,203.20 : x
  2. Step 2: Convert to fraction form
    38,490.40/57,724.80 = 12,203.20/x
  3. Step 3: Cross multiply
    38,490.40x = 57,724.80 × 12,203.20
  4. Step 4: Simplify right side
    38,490.40x = 704,427,279.36
  5. Step 5: Solve for x
    x = 704,427,279.36/38,490.40
  6. Step 6: Final answer
    x = 18,301.38

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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.