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Finding the Fourth Proportional to 38,481.40, 57,729.90 and 21,849.40

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Solution

The fourth proportional to 38,481.40, 57,729.90 and 21,849.40 is: 32,778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,481.40 : 57,729.90 = 21,849.40 : x
  2. Step 2: Convert to fraction form
    38,481.40/57,729.90 = 21,849.40/x
  3. Step 3: Cross multiply
    38,481.40x = 57,729.90 × 21,849.40
  4. Step 4: Simplify right side
    38,481.40x = 1,261,363,677.06
  5. Step 5: Solve for x
    x = 1,261,363,677.06/38,481.40
  6. Step 6: Final answer
    x = 32,778.53

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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.