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Finding the Fourth Proportional to 7,806.66, 11,714.60 and 2,879.74

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Solution

The fourth proportional to 7,806.66, 11,714.60 and 2,879.74 is: 4,321.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.66 : 11,714.60 = 2,879.74 : x
  2. Step 2: Convert to fraction form
    7,806.66/11,714.60 = 2,879.74/x
  3. Step 3: Cross multiply
    7,806.66x = 11,714.60 × 2,879.74
  4. Step 4: Simplify right side
    7,806.66x = 33,735,002.20
  5. Step 5: Solve for x
    x = 33,735,002.20/7,806.66
  6. Step 6: Final answer
    x = 4,321.31

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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.