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Finding the Fourth Proportional to 6,608.86, 9,906.57 and 4,145.39

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Solution

The fourth proportional to 6,608.86, 9,906.57 and 4,145.39 is: 6,213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,608.86 : 9,906.57 = 4,145.39 : x
  2. Step 2: Convert to fraction form
    6,608.86/9,906.57 = 4,145.39/x
  3. Step 3: Cross multiply
    6,608.86x = 9,906.57 × 4,145.39
  4. Step 4: Simplify right side
    6,608.86x = 41,066,596.21
  5. Step 5: Solve for x
    x = 41,066,596.21/6,608.86
  6. Step 6: Final answer
    x = 6,213.87

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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.