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Finding the Fourth Proportional to 9,481.72, 13,078.86 and 6,824.92

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Solution

The fourth proportional to 9,481.72, 13,078.86 and 6,824.92 is: 9,414.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.72 : 13,078.86 = 6,824.92 : x
  2. Step 2: Convert to fraction form
    9,481.72/13,078.86 = 6,824.92/x
  3. Step 3: Cross multiply
    9,481.72x = 13,078.86 × 6,824.92
  4. Step 4: Simplify right side
    9,481.72x = 89,262,173.19
  5. Step 5: Solve for x
    x = 89,262,173.19/9,481.72
  6. Step 6: Final answer
    x = 9,414.13

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