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Finding the Fourth Proportional to 12,822, 17,694.36 and 6,934

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Solution

The fourth proportional to 12,822, 17,694.36 and 6,934 is: 9,568.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822 : 17,694.36 = 6,934 : x
  2. Step 2: Convert to fraction form
    12,822/17,694.36 = 6,934/x
  3. Step 3: Cross multiply
    12,822x = 17,694.36 × 6,934
  4. Step 4: Simplify right side
    12,822x = 122,692,692.24
  5. Step 5: Solve for x
    x = 122,692,692.24/12,822
  6. Step 6: Final answer
    x = 9,568.92

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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.