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Finding the Fourth Proportional to 6,857.68, 10,287 and 3,394

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Solution

The fourth proportional to 6,857.68, 10,287 and 3,394 is: 5,091.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.68 : 10,287 = 3,394 : x
  2. Step 2: Convert to fraction form
    6,857.68/10,287 = 3,394/x
  3. Step 3: Cross multiply
    6,857.68x = 10,287 × 3,394
  4. Step 4: Simplify right side
    6,857.68x = 34,914,078
  5. Step 5: Solve for x
    x = 34,914,078/6,857.68
  6. Step 6: Final answer
    x = 5,091.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.