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Finding the Fourth Proportional to 6,909.76, 10,363.36 and 2,229.88

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Solution

The fourth proportional to 6,909.76, 10,363.36 and 2,229.88 is: 3,344.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.76 : 10,363.36 = 2,229.88 : x
  2. Step 2: Convert to fraction form
    6,909.76/10,363.36 = 2,229.88/x
  3. Step 3: Cross multiply
    6,909.76x = 10,363.36 × 2,229.88
  4. Step 4: Simplify right side
    6,909.76x = 23,109,049.20
  5. Step 5: Solve for x
    x = 23,109,049.20/6,909.76
  6. Step 6: Final answer
    x = 3,344.41

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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.