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Finding the Fourth Proportional to 2,576.25, 3,862.63 and 820.73

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Solution

The fourth proportional to 2,576.25, 3,862.63 and 820.73 is: 1,230.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.25 : 3,862.63 = 820.73 : x
  2. Step 2: Convert to fraction form
    2,576.25/3,862.63 = 820.73/x
  3. Step 3: Cross multiply
    2,576.25x = 3,862.63 × 820.73
  4. Step 4: Simplify right side
    2,576.25x = 3,170,152.90
  5. Step 5: Solve for x
    x = 3,170,152.90/2,576.25
  6. Step 6: Final answer
    x = 1,230.53

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1.5x scale

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.