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Finding the Fourth Proportional to 6,609.90, 9,910.42 and 3,486.61

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Solution

The fourth proportional to 6,609.90, 9,910.42 and 3,486.61 is: 5,227.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,609.90 : 9,910.42 = 3,486.61 : x
  2. Step 2: Convert to fraction form
    6,609.90/9,910.42 = 3,486.61/x
  3. Step 3: Cross multiply
    6,609.90x = 9,910.42 × 3,486.61
  4. Step 4: Simplify right side
    6,609.90x = 34,553,769.48
  5. Step 5: Solve for x
    x = 34,553,769.48/6,609.90
  6. Step 6: Final answer
    x = 5,227.58

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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.