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Finding the Fourth Proportional to 16,515.12, 24,780.76 and 8,195.92

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Solution

The fourth proportional to 16,515.12, 24,780.76 and 8,195.92 is: 12,297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,515.12 : 24,780.76 = 8,195.92 : x
  2. Step 2: Convert to fraction form
    16,515.12/24,780.76 = 8,195.92/x
  3. Step 3: Cross multiply
    16,515.12x = 24,780.76 × 8,195.92
  4. Step 4: Simplify right side
    16,515.12x = 203,101,126.50
  5. Step 5: Solve for x
    x = 203,101,126.50/16,515.12
  6. Step 6: Final answer
    x = 12,297.89

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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.