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Finding the Fourth Proportional to 14,481.62, 19,982.95 and 8,108.57

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Solution

The fourth proportional to 14,481.62, 19,982.95 and 8,108.57 is: 11,188.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,481.62 : 19,982.95 = 8,108.57 : x
  2. Step 2: Convert to fraction form
    14,481.62/19,982.95 = 8,108.57/x
  3. Step 3: Cross multiply
    14,481.62x = 19,982.95 × 8,108.57
  4. Step 4: Simplify right side
    14,481.62x = 162,033,028.70
  5. Step 5: Solve for x
    x = 162,033,028.70/14,481.62
  6. Step 6: Final answer
    x = 11,188.87

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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.