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Finding the Fourth Proportional to 6,480.20, 9,713.10 and 2,781.80

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Solution

The fourth proportional to 6,480.20, 9,713.10 and 2,781.80 is: 4,169.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.20 : 9,713.10 = 2,781.80 : x
  2. Step 2: Convert to fraction form
    6,480.20/9,713.10 = 2,781.80/x
  3. Step 3: Cross multiply
    6,480.20x = 9,713.10 × 2,781.80
  4. Step 4: Simplify right side
    6,480.20x = 27,019,901.58
  5. Step 5: Solve for x
    x = 27,019,901.58/6,480.20
  6. Step 6: Final answer
    x = 4,169.61

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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.