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Finding the Fourth Proportional to 8,264.73, 12,398.61 and 2,719.65

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Solution

The fourth proportional to 8,264.73, 12,398.61 and 2,719.65 is: 4,079.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.73 : 12,398.61 = 2,719.65 : x
  2. Step 2: Convert to fraction form
    8,264.73/12,398.61 = 2,719.65/x
  3. Step 3: Cross multiply
    8,264.73x = 12,398.61 × 2,719.65
  4. Step 4: Simplify right side
    8,264.73x = 33,719,879.69
  5. Step 5: Solve for x
    x = 33,719,879.69/8,264.73
  6. Step 6: Final answer
    x = 4,079.97

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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.