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Finding the Fourth Proportional to 2,551.10, 3,826.92 and 861.90

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Solution

The fourth proportional to 2,551.10, 3,826.92 and 861.90 is: 1,292.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.10 : 3,826.92 = 861.90 : x
  2. Step 2: Convert to fraction form
    2,551.10/3,826.92 = 861.90/x
  3. Step 3: Cross multiply
    2,551.10x = 3,826.92 × 861.90
  4. Step 4: Simplify right side
    2,551.10x = 3,298,422.35
  5. Step 5: Solve for x
    x = 3,298,422.35/2,551.10
  6. Step 6: Final answer
    x = 1,292.94

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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.