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Finding the Fourth Proportional to 3,863.88, 5,789.94 and 2,560.68

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Solution

The fourth proportional to 3,863.88, 5,789.94 and 2,560.68 is: 3,837.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.88 : 5,789.94 = 2,560.68 : x
  2. Step 2: Convert to fraction form
    3,863.88/5,789.94 = 2,560.68/x
  3. Step 3: Cross multiply
    3,863.88x = 5,789.94 × 2,560.68
  4. Step 4: Simplify right side
    3,863.88x = 14,826,183.56
  5. Step 5: Solve for x
    x = 14,826,183.56/3,863.88
  6. Step 6: Final answer
    x = 3,837.12

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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.