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Finding the Fourth Proportional to 5,781.90, 8,671.79 and 2,822.09

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Solution

The fourth proportional to 5,781.90, 8,671.79 and 2,822.09 is: 4,232.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.90 : 8,671.79 = 2,822.09 : x
  2. Step 2: Convert to fraction form
    5,781.90/8,671.79 = 2,822.09/x
  3. Step 3: Cross multiply
    5,781.90x = 8,671.79 × 2,822.09
  4. Step 4: Simplify right side
    5,781.90x = 24,472,535.54
  5. Step 5: Solve for x
    x = 24,472,535.54/5,781.90
  6. Step 6: Final answer
    x = 4,232.61

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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.