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Finding the Fourth Proportional to 8,586.76, 12,879.96 and 2,743.24

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Solution

The fourth proportional to 8,586.76, 12,879.96 and 2,743.24 is: 4,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586.76 : 12,879.96 = 2,743.24 : x
  2. Step 2: Convert to fraction form
    8,586.76/12,879.96 = 2,743.24/x
  3. Step 3: Cross multiply
    8,586.76x = 12,879.96 × 2,743.24
  4. Step 4: Simplify right side
    8,586.76x = 35,332,821.47
  5. Step 5: Solve for x
    x = 35,332,821.47/8,586.76
  6. Step 6: Final answer
    x = 4,114.80

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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.