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Finding the Fourth Proportional to 3,691.74, 5,531.13 and 2,149.50

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Solution

The fourth proportional to 3,691.74, 5,531.13 and 2,149.50 is: 3,220.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.74 : 5,531.13 = 2,149.50 : x
  2. Step 2: Convert to fraction form
    3,691.74/5,531.13 = 2,149.50/x
  3. Step 3: Cross multiply
    3,691.74x = 5,531.13 × 2,149.50
  4. Step 4: Simplify right side
    3,691.74x = 11,889,163.94
  5. Step 5: Solve for x
    x = 11,889,163.94/3,691.74
  6. Step 6: Final answer
    x = 3,220.48

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1.5x scale

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.