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Finding the Fourth Proportional to 11,499.87, 15,871.13 and 6,395.89

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Solution

The fourth proportional to 11,499.87, 15,871.13 and 6,395.89 is: 8,827.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,499.87 : 15,871.13 = 6,395.89 : x
  2. Step 2: Convert to fraction form
    11,499.87/15,871.13 = 6,395.89/x
  3. Step 3: Cross multiply
    11,499.87x = 15,871.13 × 6,395.89
  4. Step 4: Simplify right side
    11,499.87x = 101,510,001.66
  5. Step 5: Solve for x
    x = 101,510,001.66/11,499.87
  6. Step 6: Final answer
    x = 8,827.06

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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.