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Finding the Fourth Proportional to 3,934.37, 5,902.37 and 3,289.61

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Solution

The fourth proportional to 3,934.37, 5,902.37 and 3,289.61 is: 4,935.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.37 : 5,902.37 = 3,289.61 : x
  2. Step 2: Convert to fraction form
    3,934.37/5,902.37 = 3,289.61/x
  3. Step 3: Cross multiply
    3,934.37x = 5,902.37 × 3,289.61
  4. Step 4: Simplify right side
    3,934.37x = 19,416,449.42
  5. Step 5: Solve for x
    x = 19,416,449.42/3,934.37
  6. Step 6: Final answer
    x = 4,935.09

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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.