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Finding the Fourth Proportional to 11,310.31, 15,593.88 and 8,083.99

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Solution

The fourth proportional to 11,310.31, 15,593.88 and 8,083.99 is: 11,145.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,310.31 : 15,593.88 = 8,083.99 : x
  2. Step 2: Convert to fraction form
    11,310.31/15,593.88 = 8,083.99/x
  3. Step 3: Cross multiply
    11,310.31x = 15,593.88 × 8,083.99
  4. Step 4: Simplify right side
    11,310.31x = 126,060,769.98
  5. Step 5: Solve for x
    x = 126,060,769.98/11,310.31
  6. Step 6: Final answer
    x = 11,145.65

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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.