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Finding the Fourth Proportional to 3,788.91, 5,678.19 and 2,863.71

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Solution

The fourth proportional to 3,788.91, 5,678.19 and 2,863.71 is: 4,291.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.91 : 5,678.19 = 2,863.71 : x
  2. Step 2: Convert to fraction form
    3,788.91/5,678.19 = 2,863.71/x
  3. Step 3: Cross multiply
    3,788.91x = 5,678.19 × 2,863.71
  4. Step 4: Simplify right side
    3,788.91x = 16,260,689.48
  5. Step 5: Solve for x
    x = 16,260,689.48/3,788.91
  6. Step 6: Final answer
    x = 4,291.65

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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.