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Finding the Fourth Proportional to 3,960.70, 5,465.70 and 2,282.10

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Solution

The fourth proportional to 3,960.70, 5,465.70 and 2,282.10 is: 3,149.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.70 : 5,465.70 = 2,282.10 : x
  2. Step 2: Convert to fraction form
    3,960.70/5,465.70 = 2,282.10/x
  3. Step 3: Cross multiply
    3,960.70x = 5,465.70 × 2,282.10
  4. Step 4: Simplify right side
    3,960.70x = 12,473,273.97
  5. Step 5: Solve for x
    x = 12,473,273.97/3,960.70
  6. Step 6: Final answer
    x = 3,149.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.