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Finding the Fourth Proportional to 3,239.96, 4,468.38 and 2,738.24

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Solution

The fourth proportional to 3,239.96, 4,468.38 and 2,738.24 is: 3,776.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.96 : 4,468.38 = 2,738.24 : x
  2. Step 2: Convert to fraction form
    3,239.96/4,468.38 = 2,738.24/x
  3. Step 3: Cross multiply
    3,239.96x = 4,468.38 × 2,738.24
  4. Step 4: Simplify right side
    3,239.96x = 12,235,496.85
  5. Step 5: Solve for x
    x = 12,235,496.85/3,239.96
  6. Step 6: Final answer
    x = 3,776.43

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1.5x scale

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.