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Finding the Fourth Proportional to 3,982.71, 5,976.77 and 1,385.64

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Solution

The fourth proportional to 3,982.71, 5,976.77 and 1,385.64 is: 2,079.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.71 : 5,976.77 = 1,385.64 : x
  2. Step 2: Convert to fraction form
    3,982.71/5,976.77 = 1,385.64/x
  3. Step 3: Cross multiply
    3,982.71x = 5,976.77 × 1,385.64
  4. Step 4: Simplify right side
    3,982.71x = 8,281,644.65
  5. Step 5: Solve for x
    x = 8,281,644.65/3,982.71
  6. Step 6: Final answer
    x = 2,079.40

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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.