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Finding the Fourth Proportional to 2,781.11, 4,171.80 and 833.13

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Solution

The fourth proportional to 2,781.11, 4,171.80 and 833.13 is: 1,249.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.11 : 4,171.80 = 833.13 : x
  2. Step 2: Convert to fraction form
    2,781.11/4,171.80 = 833.13/x
  3. Step 3: Cross multiply
    2,781.11x = 4,171.80 × 833.13
  4. Step 4: Simplify right side
    2,781.11x = 3,475,651.73
  5. Step 5: Solve for x
    x = 3,475,651.73/2,781.11
  6. Step 6: Final answer
    x = 1,249.74

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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.