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Finding the Fourth Proportional to 6,408.93, 9,610.92 and 2,661.87

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Solution

The fourth proportional to 6,408.93, 9,610.92 and 2,661.87 is: 3,991.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.93 : 9,610.92 = 2,661.87 : x
  2. Step 2: Convert to fraction form
    6,408.93/9,610.92 = 2,661.87/x
  3. Step 3: Cross multiply
    6,408.93x = 9,610.92 × 2,661.87
  4. Step 4: Simplify right side
    6,408.93x = 25,583,019.62
  5. Step 5: Solve for x
    x = 25,583,019.62/6,408.93
  6. Step 6: Final answer
    x = 3,991.78

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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.