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Finding the Fourth Proportional to 2,576.25, 3,864.78 and 932.49

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Solution

The fourth proportional to 2,576.25, 3,864.78 and 932.49 is: 1,398.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.25 : 3,864.78 = 932.49 : x
  2. Step 2: Convert to fraction form
    2,576.25/3,864.78 = 932.49/x
  3. Step 3: Cross multiply
    2,576.25x = 3,864.78 × 932.49
  4. Step 4: Simplify right side
    2,576.25x = 3,603,868.70
  5. Step 5: Solve for x
    x = 3,603,868.70/2,576.25
  6. Step 6: Final answer
    x = 1,398.88

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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.