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Finding the Fourth Proportional to 3,200.56, 4,419 and 2,006.02

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Solution

The fourth proportional to 3,200.56, 4,419 and 2,006.02 is: 2,769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.56 : 4,419 = 2,006.02 : x
  2. Step 2: Convert to fraction form
    3,200.56/4,419 = 2,006.02/x
  3. Step 3: Cross multiply
    3,200.56x = 4,419 × 2,006.02
  4. Step 4: Simplify right side
    3,200.56x = 8,864,602.38
  5. Step 5: Solve for x
    x = 8,864,602.38/3,200.56
  6. Step 6: Final answer
    x = 2,769.70

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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.