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Finding the Fourth Proportional to 3,878.73, 5,815.53 and 2,005.83

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Solution

The fourth proportional to 3,878.73, 5,815.53 and 2,005.83 is: 3,007.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.73 : 5,815.53 = 2,005.83 : x
  2. Step 2: Convert to fraction form
    3,878.73/5,815.53 = 2,005.83/x
  3. Step 3: Cross multiply
    3,878.73x = 5,815.53 × 2,005.83
  4. Step 4: Simplify right side
    3,878.73x = 11,664,964.54
  5. Step 5: Solve for x
    x = 11,664,964.54/3,878.73
  6. Step 6: Final answer
    x = 3,007.42

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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.