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Finding the Fourth Proportional to 3,935.86, 5,902.67 and 1,338.74

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Solution

The fourth proportional to 3,935.86, 5,902.67 and 1,338.74 is: 2,007.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.86 : 5,902.67 = 1,338.74 : x
  2. Step 2: Convert to fraction form
    3,935.86/5,902.67 = 1,338.74/x
  3. Step 3: Cross multiply
    3,935.86x = 5,902.67 × 1,338.74
  4. Step 4: Simplify right side
    3,935.86x = 7,902,140.44
  5. Step 5: Solve for x
    x = 7,902,140.44/3,935.86
  6. Step 6: Final answer
    x = 2,007.73

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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.