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Finding the Fourth Proportional to 3,960.71, 5,935.81 and 2,107.83

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Solution

The fourth proportional to 3,960.71, 5,935.81 and 2,107.83 is: 3,158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.71 : 5,935.81 = 2,107.83 : x
  2. Step 2: Convert to fraction form
    3,960.71/5,935.81 = 2,107.83/x
  3. Step 3: Cross multiply
    3,960.71x = 5,935.81 × 2,107.83
  4. Step 4: Simplify right side
    3,960.71x = 12,511,673.12
  5. Step 5: Solve for x
    x = 12,511,673.12/3,960.71
  6. Step 6: Final answer
    x = 3,158.95

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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.