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Finding the Fourth Proportional to 3,801.25, 5,697.19 and 2,699.65

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Solution

The fourth proportional to 3,801.25, 5,697.19 and 2,699.65 is: 4,046.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.25 : 5,697.19 = 2,699.65 : x
  2. Step 2: Convert to fraction form
    3,801.25/5,697.19 = 2,699.65/x
  3. Step 3: Cross multiply
    3,801.25x = 5,697.19 × 2,699.65
  4. Step 4: Simplify right side
    3,801.25x = 15,380,418.98
  5. Step 5: Solve for x
    x = 15,380,418.98/3,801.25
  6. Step 6: Final answer
    x = 4,046.15

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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.