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Finding the Fourth Proportional to 11,715.38, 16,171.92 and 6,998.78

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Solution

The fourth proportional to 11,715.38, 16,171.92 and 6,998.78 is: 9,661.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.38 : 16,171.92 = 6,998.78 : x
  2. Step 2: Convert to fraction form
    11,715.38/16,171.92 = 6,998.78/x
  3. Step 3: Cross multiply
    11,715.38x = 16,171.92 × 6,998.78
  4. Step 4: Simplify right side
    11,715.38x = 113,183,710.26
  5. Step 5: Solve for x
    x = 113,183,710.26/11,715.38
  6. Step 6: Final answer
    x = 9,661.12

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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.