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Finding the Fourth Proportional to 10,344.80, 15,517.80 and 2,949.80

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Solution

The fourth proportional to 10,344.80, 15,517.80 and 2,949.80 is: 4,424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.80 : 15,517.80 = 2,949.80 : x
  2. Step 2: Convert to fraction form
    10,344.80/15,517.80 = 2,949.80/x
  3. Step 3: Cross multiply
    10,344.80x = 15,517.80 × 2,949.80
  4. Step 4: Simplify right side
    10,344.80x = 45,774,406.44
  5. Step 5: Solve for x
    x = 45,774,406.44/10,344.80
  6. Step 6: Final answer
    x = 4,424.87

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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.