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Finding the Fourth Proportional to 11,790, 16,270.20 and 6,822

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Solution

The fourth proportional to 11,790, 16,270.20 and 6,822 is: 9,414.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,790 : 16,270.20 = 6,822 : x
  2. Step 2: Convert to fraction form
    11,790/16,270.20 = 6,822/x
  3. Step 3: Cross multiply
    11,790x = 16,270.20 × 6,822
  4. Step 4: Simplify right side
    11,790x = 110,995,304.40
  5. Step 5: Solve for x
    x = 110,995,304.40/11,790
  6. Step 6: Final answer
    x = 9,414.36

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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.