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Finding the Fourth Proportional to 8,857.87, 13,286.00 and 2,701.87

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Solution

The fourth proportional to 8,857.87, 13,286.00 and 2,701.87 is: 4,052.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,857.87 : 13,286.00 = 2,701.87 : x
  2. Step 2: Convert to fraction form
    8,857.87/13,286.00 = 2,701.87/x
  3. Step 3: Cross multiply
    8,857.87x = 13,286.00 × 2,701.87
  4. Step 4: Simplify right side
    8,857.87x = 35,897,064.53
  5. Step 5: Solve for x
    x = 35,897,064.53/8,857.87
  6. Step 6: Final answer
    x = 4,052.56

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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.