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Finding the Fourth Proportional to 3,936.96, 5,913.64 and 3,321.86

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Solution

The fourth proportional to 3,936.96, 5,913.64 and 3,321.86 is: 4,989.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,936.96 : 5,913.64 = 3,321.86 : x
  2. Step 2: Convert to fraction form
    3,936.96/5,913.64 = 3,321.86/x
  3. Step 3: Cross multiply
    3,936.96x = 5,913.64 × 3,321.86
  4. Step 4: Simplify right side
    3,936.96x = 19,644,284.17
  5. Step 5: Solve for x
    x = 19,644,284.17/3,936.96
  6. Step 6: Final answer
    x = 4,989.71

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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.