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Finding the Fourth Proportional to 20,500, 30,750 and 6,649

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Solution

The fourth proportional to 20,500, 30,750 and 6,649 is: 9,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,500 : 30,750 = 6,649 : x
  2. Step 2: Convert to fraction form
    20,500/30,750 = 6,649/x
  3. Step 3: Cross multiply
    20,500x = 30,750 × 6,649
  4. Step 4: Simplify right side
    20,500x = 204,456,750
  5. Step 5: Solve for x
    x = 204,456,750/20,500
  6. Step 6: Final answer
    x = 9,973.50

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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.