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Finding the Fourth Proportional to 3,878.04, 5,787.15 and 3,255.96

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Solution

The fourth proportional to 3,878.04, 5,787.15 and 3,255.96 is: 4,858.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.04 : 5,787.15 = 3,255.96 : x
  2. Step 2: Convert to fraction form
    3,878.04/5,787.15 = 3,255.96/x
  3. Step 3: Cross multiply
    3,878.04x = 5,787.15 × 3,255.96
  4. Step 4: Simplify right side
    3,878.04x = 18,842,728.91
  5. Step 5: Solve for x
    x = 18,842,728.91/3,878.04
  6. Step 6: Final answer
    x = 4,858.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.