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Finding the Fourth Proportional to 8,322.03, 11,481.62 and 5,178.02

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Solution

The fourth proportional to 8,322.03, 11,481.62 and 5,178.02 is: 7,143.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.03 : 11,481.62 = 5,178.02 : x
  2. Step 2: Convert to fraction form
    8,322.03/11,481.62 = 5,178.02/x
  3. Step 3: Cross multiply
    8,322.03x = 11,481.62 × 5,178.02
  4. Step 4: Simplify right side
    8,322.03x = 59,451,974.69
  5. Step 5: Solve for x
    x = 59,451,974.69/8,322.03
  6. Step 6: Final answer
    x = 7,143.93

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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.