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Finding the Fourth Proportional to 8,576.33, 12,865.41 and 2,731.59

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Solution

The fourth proportional to 8,576.33, 12,865.41 and 2,731.59 is: 4,097.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.33 : 12,865.41 = 2,731.59 : x
  2. Step 2: Convert to fraction form
    8,576.33/12,865.41 = 2,731.59/x
  3. Step 3: Cross multiply
    8,576.33x = 12,865.41 × 2,731.59
  4. Step 4: Simplify right side
    8,576.33x = 35,143,025.30
  5. Step 5: Solve for x
    x = 35,143,025.30/8,576.33
  6. Step 6: Final answer
    x = 4,097.68

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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.