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Finding the Fourth Proportional to 11,774, 16,249.56 and 6,806

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Solution

The fourth proportional to 11,774, 16,249.56 and 6,806 is: 9,393.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774 : 16,249.56 = 6,806 : x
  2. Step 2: Convert to fraction form
    11,774/16,249.56 = 6,806/x
  3. Step 3: Cross multiply
    11,774x = 16,249.56 × 6,806
  4. Step 4: Simplify right side
    11,774x = 110,594,505.36
  5. Step 5: Solve for x
    x = 110,594,505.36/11,774
  6. Step 6: Final answer
    x = 9,393.11

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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.