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Finding the Fourth Proportional to 3,200.40, 4,401 and 3,103.20

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Solution

The fourth proportional to 3,200.40, 4,401 and 3,103.20 is: 4,267.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.40 : 4,401 = 3,103.20 : x
  2. Step 2: Convert to fraction form
    3,200.40/4,401 = 3,103.20/x
  3. Step 3: Cross multiply
    3,200.40x = 4,401 × 3,103.20
  4. Step 4: Simplify right side
    3,200.40x = 13,657,183.20
  5. Step 5: Solve for x
    x = 13,657,183.20/3,200.40
  6. Step 6: Final answer
    x = 4,267.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.