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Finding the Fourth Proportional to 2,576.10, 3,863.34 and 932.88

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Solution

The fourth proportional to 2,576.10, 3,863.34 and 932.88 is: 1,399.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.10 : 3,863.34 = 932.88 : x
  2. Step 2: Convert to fraction form
    2,576.10/3,863.34 = 932.88/x
  3. Step 3: Cross multiply
    2,576.10x = 3,863.34 × 932.88
  4. Step 4: Simplify right side
    2,576.10x = 3,604,032.62
  5. Step 5: Solve for x
    x = 3,604,032.62/2,576.10
  6. Step 6: Final answer
    x = 1,399.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.