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Finding the Fourth Proportional to 12,379, 17,083.28 and 6,790

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Solution

The fourth proportional to 12,379, 17,083.28 and 6,790 is: 9,370.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,379 : 17,083.28 = 6,790 : x
  2. Step 2: Convert to fraction form
    12,379/17,083.28 = 6,790/x
  3. Step 3: Cross multiply
    12,379x = 17,083.28 × 6,790
  4. Step 4: Simplify right side
    12,379x = 115,995,471.20
  5. Step 5: Solve for x
    x = 115,995,471.20/12,379
  6. Step 6: Final answer
    x = 9,370.34

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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.