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Finding the Fourth Proportional to 10,870, 16,255.16 and 8,098.56

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Solution

The fourth proportional to 10,870, 16,255.16 and 8,098.56 is: 12,110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,870 : 16,255.16 = 8,098.56 : x
  2. Step 2: Convert to fraction form
    10,870/16,255.16 = 8,098.56/x
  3. Step 3: Cross multiply
    10,870x = 16,255.16 × 8,098.56
  4. Step 4: Simplify right side
    10,870x = 131,643,388.57
  5. Step 5: Solve for x
    x = 131,643,388.57/10,870
  6. Step 6: Final answer
    x = 12,110.71

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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.