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Finding the Fourth Proportional to 6,608.74, 9,909.63 and 3,490.42

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Solution

The fourth proportional to 6,608.74, 9,909.63 and 3,490.42 is: 5,233.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,608.74 : 9,909.63 = 3,490.42 : x
  2. Step 2: Convert to fraction form
    6,608.74/9,909.63 = 3,490.42/x
  3. Step 3: Cross multiply
    6,608.74x = 9,909.63 × 3,490.42
  4. Step 4: Simplify right side
    6,608.74x = 34,588,770.74
  5. Step 5: Solve for x
    x = 34,588,770.74/6,608.74
  6. Step 6: Final answer
    x = 5,233.79

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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.