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Finding the Fourth Proportional to 3,630.70, 5,444.70 and 2,531.80

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Solution

The fourth proportional to 3,630.70, 5,444.70 and 2,531.80 is: 3,796.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.70 : 5,444.70 = 2,531.80 : x
  2. Step 2: Convert to fraction form
    3,630.70/5,444.70 = 2,531.80/x
  3. Step 3: Cross multiply
    3,630.70x = 5,444.70 × 2,531.80
  4. Step 4: Simplify right side
    3,630.70x = 13,784,891.46
  5. Step 5: Solve for x
    x = 13,784,891.46/3,630.70
  6. Step 6: Final answer
    x = 3,796.76

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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.