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Finding the Fourth Proportional to 2,580.46, 3,871.22 and 825.55

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Solution

The fourth proportional to 2,580.46, 3,871.22 and 825.55 is: 1,238.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.46 : 3,871.22 = 825.55 : x
  2. Step 2: Convert to fraction form
    2,580.46/3,871.22 = 825.55/x
  3. Step 3: Cross multiply
    2,580.46x = 3,871.22 × 825.55
  4. Step 4: Simplify right side
    2,580.46x = 3,195,871.87
  5. Step 5: Solve for x
    x = 3,195,871.87/2,580.46
  6. Step 6: Final answer
    x = 1,238.49

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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.