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Finding the Fourth Proportional to 3,620.40, 5,414.40 and 3,037.20

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Solution

The fourth proportional to 3,620.40, 5,414.40 and 3,037.20 is: 4,542.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.40 : 5,414.40 = 3,037.20 : x
  2. Step 2: Convert to fraction form
    3,620.40/5,414.40 = 3,037.20/x
  3. Step 3: Cross multiply
    3,620.40x = 5,414.40 × 3,037.20
  4. Step 4: Simplify right side
    3,620.40x = 16,444,615.68
  5. Step 5: Solve for x
    x = 16,444,615.68/3,620.40
  6. Step 6: Final answer
    x = 4,542.21

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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.