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Finding the Fourth Proportional to 3,745.92, 5,627.20 and 3,244.80

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Solution

The fourth proportional to 3,745.92, 5,627.20 and 3,244.80 is: 4,874.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.92 : 5,627.20 = 3,244.80 : x
  2. Step 2: Convert to fraction form
    3,745.92/5,627.20 = 3,244.80/x
  3. Step 3: Cross multiply
    3,745.92x = 5,627.20 × 3,244.80
  4. Step 4: Simplify right side
    3,745.92x = 18,259,138.56
  5. Step 5: Solve for x
    x = 18,259,138.56/3,745.92
  6. Step 6: Final answer
    x = 4,874.41

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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.