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Finding the Fourth Proportional to 3,897, 5,377.98 and 2,241

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Solution

The fourth proportional to 3,897, 5,377.98 and 2,241 is: 3,092.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897 : 5,377.98 = 2,241 : x
  2. Step 2: Convert to fraction form
    3,897/5,377.98 = 2,241/x
  3. Step 3: Cross multiply
    3,897x = 5,377.98 × 2,241
  4. Step 4: Simplify right side
    3,897x = 12,052,053.18
  5. Step 5: Solve for x
    x = 12,052,053.18/3,897
  6. Step 6: Final answer
    x = 3,092.65

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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.