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Finding the Fourth Proportional to 3,801, 5,696.82 and 2,699.40

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Solution

The fourth proportional to 3,801, 5,696.82 and 2,699.40 is: 4,045.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801 : 5,696.82 = 2,699.40 : x
  2. Step 2: Convert to fraction form
    3,801/5,696.82 = 2,699.40/x
  3. Step 3: Cross multiply
    3,801x = 5,696.82 × 2,699.40
  4. Step 4: Simplify right side
    3,801x = 15,377,995.91
  5. Step 5: Solve for x
    x = 15,377,995.91/3,801
  6. Step 6: Final answer
    x = 4,045.78

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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.