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Finding the Fourth Proportional to 8,864, 12,228 and 7,097.84

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Solution

The fourth proportional to 8,864, 12,228 and 7,097.84 is: 9,791.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,864 : 12,228 = 7,097.84 : x
  2. Step 2: Convert to fraction form
    8,864/12,228 = 7,097.84/x
  3. Step 3: Cross multiply
    8,864x = 12,228 × 7,097.84
  4. Step 4: Simplify right side
    8,864x = 86,792,387.52
  5. Step 5: Solve for x
    x = 86,792,387.52/8,864
  6. Step 6: Final answer
    x = 9,791.56

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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.