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Finding the Fourth Proportional to 3,801.92, 5,245.78 and 2,860

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Solution

The fourth proportional to 3,801.92, 5,245.78 and 2,860 is: 3,946.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.92 : 5,245.78 = 2,860 : x
  2. Step 2: Convert to fraction form
    3,801.92/5,245.78 = 2,860/x
  3. Step 3: Cross multiply
    3,801.92x = 5,245.78 × 2,860
  4. Step 4: Simplify right side
    3,801.92x = 15,002,930.80
  5. Step 5: Solve for x
    x = 15,002,930.80/3,801.92
  6. Step 6: Final answer
    x = 3,946.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.