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Finding the Fourth Proportional to 8,199.52, 11,287.97 and 7,822.92

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Solution

The fourth proportional to 8,199.52, 11,287.97 and 7,822.92 is: 10,769.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.52 : 11,287.97 = 7,822.92 : x
  2. Step 2: Convert to fraction form
    8,199.52/11,287.97 = 7,822.92/x
  3. Step 3: Cross multiply
    8,199.52x = 11,287.97 × 7,822.92
  4. Step 4: Simplify right side
    8,199.52x = 88,304,886.27
  5. Step 5: Solve for x
    x = 88,304,886.27/8,199.52
  6. Step 6: Final answer
    x = 10,769.52

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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.