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Finding the Fourth Proportional to 2,863.67, 4,286.86 and 2,589.89

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Solution

The fourth proportional to 2,863.67, 4,286.86 and 2,589.89 is: 3,877.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.67 : 4,286.86 = 2,589.89 : x
  2. Step 2: Convert to fraction form
    2,863.67/4,286.86 = 2,589.89/x
  3. Step 3: Cross multiply
    2,863.67x = 4,286.86 × 2,589.89
  4. Step 4: Simplify right side
    2,863.67x = 11,102,495.85
  5. Step 5: Solve for x
    x = 11,102,495.85/2,863.67
  6. Step 6: Final answer
    x = 3,877.02

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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.