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Finding the Fourth Proportional to 2,504.76, 3,757.56 and 861.24

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Solution

The fourth proportional to 2,504.76, 3,757.56 and 861.24 is: 1,292.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.76 : 3,757.56 = 861.24 : x
  2. Step 2: Convert to fraction form
    2,504.76/3,757.56 = 861.24/x
  3. Step 3: Cross multiply
    2,504.76x = 3,757.56 × 861.24
  4. Step 4: Simplify right side
    2,504.76x = 3,236,160.97
  5. Step 5: Solve for x
    x = 3,236,160.97/2,504.76
  6. Step 6: Final answer
    x = 1,292.00

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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.