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Finding the Fourth Proportional to 2,781.57, 4,171.14 and 833.33

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Solution

The fourth proportional to 2,781.57, 4,171.14 and 833.33 is: 1,249.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.57 : 4,171.14 = 833.33 : x
  2. Step 2: Convert to fraction form
    2,781.57/4,171.14 = 833.33/x
  3. Step 3: Cross multiply
    2,781.57x = 4,171.14 × 833.33
  4. Step 4: Simplify right side
    2,781.57x = 3,475,915.24
  5. Step 5: Solve for x
    x = 3,475,915.24/2,781.57
  6. Step 6: Final answer
    x = 1,249.62

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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.