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Finding the Fourth Proportional to 3,200.62, 4,419 and 2,006.08

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Solution

The fourth proportional to 3,200.62, 4,419 and 2,006.08 is: 2,769.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.62 : 4,419 = 2,006.08 : x
  2. Step 2: Convert to fraction form
    3,200.62/4,419 = 2,006.08/x
  3. Step 3: Cross multiply
    3,200.62x = 4,419 × 2,006.08
  4. Step 4: Simplify right side
    3,200.62x = 8,864,867.52
  5. Step 5: Solve for x
    x = 8,864,867.52/3,200.62
  6. Step 6: Final answer
    x = 2,769.73

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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.