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Finding the Fourth Proportional to 16,881.69, 25,328 and 8,115.46

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Solution

The fourth proportional to 16,881.69, 25,328 and 8,115.46 is: 12,175.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,881.69 : 25,328 = 8,115.46 : x
  2. Step 2: Convert to fraction form
    16,881.69/25,328 = 8,115.46/x
  3. Step 3: Cross multiply
    16,881.69x = 25,328 × 8,115.46
  4. Step 4: Simplify right side
    16,881.69x = 205,548,370.88
  5. Step 5: Solve for x
    x = 205,548,370.88/16,881.69
  6. Step 6: Final answer
    x = 12,175.82

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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.