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Finding the Fourth Proportional to 38,493.40, 57,747.90 and 21,861.40

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Solution

The fourth proportional to 38,493.40, 57,747.90 and 21,861.40 is: 32,796.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,493.40 : 57,747.90 = 21,861.40 : x
  2. Step 2: Convert to fraction form
    38,493.40/57,747.90 = 21,861.40/x
  3. Step 3: Cross multiply
    38,493.40x = 57,747.90 × 21,861.40
  4. Step 4: Simplify right side
    38,493.40x = 1,262,449,941.06
  5. Step 5: Solve for x
    x = 1,262,449,941.06/38,493.40
  6. Step 6: Final answer
    x = 32,796.53

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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.