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Finding the Fourth Proportional to 8,691.68, 13,039.44 and 2,687.82

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Solution

The fourth proportional to 8,691.68, 13,039.44 and 2,687.82 is: 4,032.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.68 : 13,039.44 = 2,687.82 : x
  2. Step 2: Convert to fraction form
    8,691.68/13,039.44 = 2,687.82/x
  3. Step 3: Cross multiply
    8,691.68x = 13,039.44 × 2,687.82
  4. Step 4: Simplify right side
    8,691.68x = 35,047,667.62
  5. Step 5: Solve for x
    x = 35,047,667.62/8,691.68
  6. Step 6: Final answer
    x = 4,032.32

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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.