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Finding the Fourth Proportional to 2,517.55, 3,774.31 and 873.25

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Solution

The fourth proportional to 2,517.55, 3,774.31 and 873.25 is: 1,309.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.55 : 3,774.31 = 873.25 : x
  2. Step 2: Convert to fraction form
    2,517.55/3,774.31 = 873.25/x
  3. Step 3: Cross multiply
    2,517.55x = 3,774.31 × 873.25
  4. Step 4: Simplify right side
    2,517.55x = 3,295,916.21
  5. Step 5: Solve for x
    x = 3,295,916.21/2,517.55
  6. Step 6: Final answer
    x = 1,309.18

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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.