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Finding the Fourth Proportional to 3,687.60, 5,531.40 and 3,622.80

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Solution

The fourth proportional to 3,687.60, 5,531.40 and 3,622.80 is: 5,434.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.60 : 5,531.40 = 3,622.80 : x
  2. Step 2: Convert to fraction form
    3,687.60/5,531.40 = 3,622.80/x
  3. Step 3: Cross multiply
    3,687.60x = 5,531.40 × 3,622.80
  4. Step 4: Simplify right side
    3,687.60x = 20,039,155.92
  5. Step 5: Solve for x
    x = 20,039,155.92/3,687.60
  6. Step 6: Final answer
    x = 5,434.20

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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.