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Finding the Fourth Proportional to 3,691.45, 5,537.18 and 3,531.48

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Solution

The fourth proportional to 3,691.45, 5,537.18 and 3,531.48 is: 5,297.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.45 : 5,537.18 = 3,531.48 : x
  2. Step 2: Convert to fraction form
    3,691.45/5,537.18 = 3,531.48/x
  3. Step 3: Cross multiply
    3,691.45x = 5,537.18 × 3,531.48
  4. Step 4: Simplify right side
    3,691.45x = 19,554,440.43
  5. Step 5: Solve for x
    x = 19,554,440.43/3,691.45
  6. Step 6: Final answer
    x = 5,297.22

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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.