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Finding the Fourth Proportional to 3,801.75, 5,697.95 and 2,700.15

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Solution

The fourth proportional to 3,801.75, 5,697.95 and 2,700.15 is: 4,046.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.75 : 5,697.95 = 2,700.15 : x
  2. Step 2: Convert to fraction form
    3,801.75/5,697.95 = 2,700.15/x
  3. Step 3: Cross multiply
    3,801.75x = 5,697.95 × 2,700.15
  4. Step 4: Simplify right side
    3,801.75x = 15,385,306.19
  5. Step 5: Solve for x
    x = 15,385,306.19/3,801.75
  6. Step 6: Final answer
    x = 4,046.90

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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.