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Finding the Fourth Proportional to 7,806.66, 11,714.61 and 2,879.73

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Solution

The fourth proportional to 7,806.66, 11,714.61 and 2,879.73 is: 4,321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.66 : 11,714.61 = 2,879.73 : x
  2. Step 2: Convert to fraction form
    7,806.66/11,714.61 = 2,879.73/x
  3. Step 3: Cross multiply
    7,806.66x = 11,714.61 × 2,879.73
  4. Step 4: Simplify right side
    7,806.66x = 33,734,913.86
  5. Step 5: Solve for x
    x = 33,734,913.86/7,806.66
  6. Step 6: Final answer
    x = 4,321.30

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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.