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Finding the Fourth Proportional to 2,872.87, 4,310.62 and 2,143.87

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Solution

The fourth proportional to 2,872.87, 4,310.62 and 2,143.87 is: 3,216.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.87 : 4,310.62 = 2,143.87 : x
  2. Step 2: Convert to fraction form
    2,872.87/4,310.62 = 2,143.87/x
  3. Step 3: Cross multiply
    2,872.87x = 4,310.62 × 2,143.87
  4. Step 4: Simplify right side
    2,872.87x = 9,241,392.76
  5. Step 5: Solve for x
    x = 9,241,392.76/2,872.87
  6. Step 6: Final answer
    x = 3,216.78

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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.