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Finding the Fourth Proportional to 3,879.81, 5,815.96 and 2,031.11

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Solution

The fourth proportional to 3,879.81, 5,815.96 and 2,031.11 is: 3,044.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.81 : 5,815.96 = 2,031.11 : x
  2. Step 2: Convert to fraction form
    3,879.81/5,815.96 = 2,031.11/x
  3. Step 3: Cross multiply
    3,879.81x = 5,815.96 × 2,031.11
  4. Step 4: Simplify right side
    3,879.81x = 11,812,854.52
  5. Step 5: Solve for x
    x = 11,812,854.52/3,879.81
  6. Step 6: Final answer
    x = 3,044.70

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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.