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Finding the Fourth Proportional to 20,498, 30,747 and 6,647

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Solution

The fourth proportional to 20,498, 30,747 and 6,647 is: 9,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,498 : 30,747 = 6,647 : x
  2. Step 2: Convert to fraction form
    20,498/30,747 = 6,647/x
  3. Step 3: Cross multiply
    20,498x = 30,747 × 6,647
  4. Step 4: Simplify right side
    20,498x = 204,375,309
  5. Step 5: Solve for x
    x = 204,375,309/20,498
  6. Step 6: Final answer
    x = 9,970.50

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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.