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Finding the Fourth Proportional to 3,726.88, 5,144.17 and 2,311

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Solution

The fourth proportional to 3,726.88, 5,144.17 and 2,311 is: 3,189.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.88 : 5,144.17 = 2,311 : x
  2. Step 2: Convert to fraction form
    3,726.88/5,144.17 = 2,311/x
  3. Step 3: Cross multiply
    3,726.88x = 5,144.17 × 2,311
  4. Step 4: Simplify right side
    3,726.88x = 11,888,176.87
  5. Step 5: Solve for x
    x = 11,888,176.87/3,726.88
  6. Step 6: Final answer
    x = 3,189.85

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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.