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Finding the Fourth Proportional to 3,872.70, 5,805.80 and 2,699.25

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Solution

The fourth proportional to 3,872.70, 5,805.80 and 2,699.25 is: 4,046.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.70 : 5,805.80 = 2,699.25 : x
  2. Step 2: Convert to fraction form
    3,872.70/5,805.80 = 2,699.25/x
  3. Step 3: Cross multiply
    3,872.70x = 5,805.80 × 2,699.25
  4. Step 4: Simplify right side
    3,872.70x = 15,671,292.15
  5. Step 5: Solve for x
    x = 15,671,292.15/3,872.70
  6. Step 6: Final answer
    x = 4,046.61

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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.