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Finding the Fourth Proportional to 2,808.73, 4,213.91 and 861.22

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Solution

The fourth proportional to 2,808.73, 4,213.91 and 861.22 is: 1,292.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.73 : 4,213.91 = 861.22 : x
  2. Step 2: Convert to fraction form
    2,808.73/4,213.91 = 861.22/x
  3. Step 3: Cross multiply
    2,808.73x = 4,213.91 × 861.22
  4. Step 4: Simplify right side
    2,808.73x = 3,629,103.57
  5. Step 5: Solve for x
    x = 3,629,103.57/2,808.73
  6. Step 6: Final answer
    x = 1,292.08

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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.