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Finding the Fourth Proportional to 3,976.43, 5,490.65 and 3,797.96

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Solution

The fourth proportional to 3,976.43, 5,490.65 and 3,797.96 is: 5,244.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.43 : 5,490.65 = 3,797.96 : x
  2. Step 2: Convert to fraction form
    3,976.43/5,490.65 = 3,797.96/x
  3. Step 3: Cross multiply
    3,976.43x = 5,490.65 × 3,797.96
  4. Step 4: Simplify right side
    3,976.43x = 20,853,263.81
  5. Step 5: Solve for x
    x = 20,853,263.81/3,976.43
  6. Step 6: Final answer
    x = 5,244.21

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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.