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Finding the Fourth Proportional to 38,493.90, 57,742.65 and 12,200.70

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Solution

The fourth proportional to 38,493.90, 57,742.65 and 12,200.70 is: 18,301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,493.90 : 57,742.65 = 12,200.70 : x
  2. Step 2: Convert to fraction form
    38,493.90/57,742.65 = 12,200.70/x
  3. Step 3: Cross multiply
    38,493.90x = 57,742.65 × 12,200.70
  4. Step 4: Simplify right side
    38,493.90x = 704,500,749.86
  5. Step 5: Solve for x
    x = 704,500,749.86/38,493.90
  6. Step 6: Final answer
    x = 18,301.62

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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.