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Finding the Fourth Proportional to 3,760.40, 5,644.20 and 3,213.20

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Solution

The fourth proportional to 3,760.40, 5,644.20 and 3,213.20 is: 4,822.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.40 : 5,644.20 = 3,213.20 : x
  2. Step 2: Convert to fraction form
    3,760.40/5,644.20 = 3,213.20/x
  3. Step 3: Cross multiply
    3,760.40x = 5,644.20 × 3,213.20
  4. Step 4: Simplify right side
    3,760.40x = 18,135,943.44
  5. Step 5: Solve for x
    x = 18,135,943.44/3,760.40
  6. Step 6: Final answer
    x = 4,822.88

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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.