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Finding the Fourth Proportional to 38,474.90, 57,720.15 and 21,842.90

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Solution

The fourth proportional to 38,474.90, 57,720.15 and 21,842.90 is: 32,768.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,474.90 : 57,720.15 = 21,842.90 : x
  2. Step 2: Convert to fraction form
    38,474.90/57,720.15 = 21,842.90/x
  3. Step 3: Cross multiply
    38,474.90x = 57,720.15 × 21,842.90
  4. Step 4: Simplify right side
    38,474.90x = 1,260,775,464.44
  5. Step 5: Solve for x
    x = 1,260,775,464.44/38,474.90
  6. Step 6: Final answer
    x = 32,768.78

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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.