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Finding the Fourth Proportional to 8,576.39, 12,865.53 and 2,731.65

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Solution

The fourth proportional to 8,576.39, 12,865.53 and 2,731.65 is: 4,097.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.39 : 12,865.53 = 2,731.65 : x
  2. Step 2: Convert to fraction form
    8,576.39/12,865.53 = 2,731.65/x
  3. Step 3: Cross multiply
    8,576.39x = 12,865.53 × 2,731.65
  4. Step 4: Simplify right side
    8,576.39x = 35,144,150.36
  5. Step 5: Solve for x
    x = 35,144,150.36/8,576.39
  6. Step 6: Final answer
    x = 4,097.78

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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.