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Finding the Fourth Proportional to 20,793.40, 31,203.78 and 7,645.90

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Solution

The fourth proportional to 20,793.40, 31,203.78 and 7,645.90 is: 11,473.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,793.40 : 31,203.78 = 7,645.90 : x
  2. Step 2: Convert to fraction form
    20,793.40/31,203.78 = 7,645.90/x
  3. Step 3: Cross multiply
    20,793.40x = 31,203.78 × 7,645.90
  4. Step 4: Simplify right side
    20,793.40x = 238,580,981.50
  5. Step 5: Solve for x
    x = 238,580,981.50/20,793.40
  6. Step 6: Final answer
    x = 11,473.88

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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.