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Finding the Fourth Proportional to 12,394, 17,104.13 and 6,805

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Solution

The fourth proportional to 12,394, 17,104.13 and 6,805 is: 9,391.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394 : 17,104.13 = 6,805 : x
  2. Step 2: Convert to fraction form
    12,394/17,104.13 = 6,805/x
  3. Step 3: Cross multiply
    12,394x = 17,104.13 × 6,805
  4. Step 4: Simplify right side
    12,394x = 116,393,604.65
  5. Step 5: Solve for x
    x = 116,393,604.65/12,394
  6. Step 6: Final answer
    x = 9,391.13

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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.