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Finding the Fourth Proportional to 5,251.87, 7,881.08 and 2,131.87

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Solution

The fourth proportional to 5,251.87, 7,881.08 and 2,131.87 is: 3,199.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.87 : 7,881.08 = 2,131.87 : x
  2. Step 2: Convert to fraction form
    5,251.87/7,881.08 = 2,131.87/x
  3. Step 3: Cross multiply
    5,251.87x = 7,881.08 × 2,131.87
  4. Step 4: Simplify right side
    5,251.87x = 16,801,438.02
  5. Step 5: Solve for x
    x = 16,801,438.02/5,251.87
  6. Step 6: Final answer
    x = 3,199.14

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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.