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Finding the Fourth Proportional to 2,735.80, 4,103.67 and 861.83

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Solution

The fourth proportional to 2,735.80, 4,103.67 and 861.83 is: 1,292.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.80 : 4,103.67 = 861.83 : x
  2. Step 2: Convert to fraction form
    2,735.80/4,103.67 = 861.83/x
  3. Step 3: Cross multiply
    2,735.80x = 4,103.67 × 861.83
  4. Step 4: Simplify right side
    2,735.80x = 3,536,664.02
  5. Step 5: Solve for x
    x = 3,536,664.02/2,735.80
  6. Step 6: Final answer
    x = 1,292.74

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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.