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Finding the Fourth Proportional to 3,878.91, 5,815.32 and 2,029.68

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Solution

The fourth proportional to 3,878.91, 5,815.32 and 2,029.68 is: 3,042.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.91 : 5,815.32 = 2,029.68 : x
  2. Step 2: Convert to fraction form
    3,878.91/5,815.32 = 2,029.68/x
  3. Step 3: Cross multiply
    3,878.91x = 5,815.32 × 2,029.68
  4. Step 4: Simplify right side
    3,878.91x = 11,803,246.31
  5. Step 5: Solve for x
    x = 11,803,246.31/3,878.91
  6. Step 6: Final answer
    x = 3,042.93

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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.