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Finding the Fourth Proportional to 2,576.16, 3,863.92 and 932.64

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Solution

The fourth proportional to 2,576.16, 3,863.92 and 932.64 is: 1,398.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.16 : 3,863.92 = 932.64 : x
  2. Step 2: Convert to fraction form
    2,576.16/3,863.92 = 932.64/x
  3. Step 3: Cross multiply
    2,576.16x = 3,863.92 × 932.64
  4. Step 4: Simplify right side
    2,576.16x = 3,603,646.35
  5. Step 5: Solve for x
    x = 3,603,646.35/2,576.16
  6. Step 6: Final answer
    x = 1,398.84

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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.