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Finding the Fourth Proportional to 2,780.82, 4,171.28 and 834.39

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Solution

The fourth proportional to 2,780.82, 4,171.28 and 834.39 is: 1,251.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.82 : 4,171.28 = 834.39 : x
  2. Step 2: Convert to fraction form
    2,780.82/4,171.28 = 834.39/x
  3. Step 3: Cross multiply
    2,780.82x = 4,171.28 × 834.39
  4. Step 4: Simplify right side
    2,780.82x = 3,480,470.15
  5. Step 5: Solve for x
    x = 3,480,470.15/2,780.82
  6. Step 6: Final answer
    x = 1,251.60

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1.5x scale

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.