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Finding the Fourth Proportional to 15,198.80, 20,965.92 and 8,909.96

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Solution

The fourth proportional to 15,198.80, 20,965.92 and 8,909.96 is: 12,290.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,198.80 : 20,965.92 = 8,909.96 : x
  2. Step 2: Convert to fraction form
    15,198.80/20,965.92 = 8,909.96/x
  3. Step 3: Cross multiply
    15,198.80x = 20,965.92 × 8,909.96
  4. Step 4: Simplify right side
    15,198.80x = 186,805,508.56
  5. Step 5: Solve for x
    x = 186,805,508.56/15,198.80
  6. Step 6: Final answer
    x = 12,290.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.