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Finding the Fourth Proportional to 11,738, 16,198.48 and 6,770

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Solution

The fourth proportional to 11,738, 16,198.48 and 6,770 is: 9,342.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738 : 16,198.48 = 6,770 : x
  2. Step 2: Convert to fraction form
    11,738/16,198.48 = 6,770/x
  3. Step 3: Cross multiply
    11,738x = 16,198.48 × 6,770
  4. Step 4: Simplify right side
    11,738x = 109,663,709.60
  5. Step 5: Solve for x
    x = 109,663,709.60/11,738
  6. Step 6: Final answer
    x = 9,342.62

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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.