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Finding the Fourth Proportional to 12,198.93, 16,833.85 and 7,884.46

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Solution

The fourth proportional to 12,198.93, 16,833.85 and 7,884.46 is: 10,880.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.93 : 16,833.85 = 7,884.46 : x
  2. Step 2: Convert to fraction form
    12,198.93/16,833.85 = 7,884.46/x
  3. Step 3: Cross multiply
    12,198.93x = 16,833.85 × 7,884.46
  4. Step 4: Simplify right side
    12,198.93x = 132,725,816.97
  5. Step 5: Solve for x
    x = 132,725,816.97/12,198.93
  6. Step 6: Final answer
    x = 10,880.12

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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.