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Finding the Fourth Proportional to 3,897.28, 5,842.08 and 3,206.08

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Solution

The fourth proportional to 3,897.28, 5,842.08 and 3,206.08 is: 4,805.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.28 : 5,842.08 = 3,206.08 : x
  2. Step 2: Convert to fraction form
    3,897.28/5,842.08 = 3,206.08/x
  3. Step 3: Cross multiply
    3,897.28x = 5,842.08 × 3,206.08
  4. Step 4: Simplify right side
    3,897.28x = 18,730,175.85
  5. Step 5: Solve for x
    x = 18,730,175.85/3,897.28
  6. Step 6: Final answer
    x = 4,805.96

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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.