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Finding the Fourth Proportional to 6,978.22, 9,629.96 and 3,834.62

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Solution

The fourth proportional to 6,978.22, 9,629.96 and 3,834.62 is: 5,291.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.22 : 9,629.96 = 3,834.62 : x
  2. Step 2: Convert to fraction form
    6,978.22/9,629.96 = 3,834.62/x
  3. Step 3: Cross multiply
    6,978.22x = 9,629.96 × 3,834.62
  4. Step 4: Simplify right side
    6,978.22x = 36,927,237.22
  5. Step 5: Solve for x
    x = 36,927,237.22/6,978.22
  6. Step 6: Final answer
    x = 5,291.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.