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Finding the Fourth Proportional to 3,936.78, 5,906.64 and 1,339.68

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Solution

The fourth proportional to 3,936.78, 5,906.64 and 1,339.68 is: 2,010.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,936.78 : 5,906.64 = 1,339.68 : x
  2. Step 2: Convert to fraction form
    3,936.78/5,906.64 = 1,339.68/x
  3. Step 3: Cross multiply
    3,936.78x = 5,906.64 × 1,339.68
  4. Step 4: Simplify right side
    3,936.78x = 7,913,007.48
  5. Step 5: Solve for x
    x = 7,913,007.48/3,936.78
  6. Step 6: Final answer
    x = 2,010.02

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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.