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Finding the Fourth Proportional to 6,978.20, 10,467.31 and 3,081.83

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Solution

The fourth proportional to 6,978.20, 10,467.31 and 3,081.83 is: 4,622.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.20 : 10,467.31 = 3,081.83 : x
  2. Step 2: Convert to fraction form
    6,978.20/10,467.31 = 3,081.83/x
  3. Step 3: Cross multiply
    6,978.20x = 10,467.31 × 3,081.83
  4. Step 4: Simplify right side
    6,978.20x = 32,258,469.98
  5. Step 5: Solve for x
    x = 32,258,469.98/6,978.20
  6. Step 6: Final answer
    x = 4,622.75

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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.