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Finding the Fourth Proportional to 11,379.05, 17,076.31 and 6,983.09

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Solution

The fourth proportional to 11,379.05, 17,076.31 and 6,983.09 is: 10,479.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,379.05 : 17,076.31 = 6,983.09 : x
  2. Step 2: Convert to fraction form
    11,379.05/17,076.31 = 6,983.09/x
  3. Step 3: Cross multiply
    11,379.05x = 17,076.31 × 6,983.09
  4. Step 4: Simplify right side
    11,379.05x = 119,245,306.76
  5. Step 5: Solve for x
    x = 119,245,306.76/11,379.05
  6. Step 6: Final answer
    x = 10,479.38

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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.