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Finding the Fourth Proportional to 11,696, 16,140.48 and 6,728

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Solution

The fourth proportional to 11,696, 16,140.48 and 6,728 is: 9,284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696 : 16,140.48 = 6,728 : x
  2. Step 2: Convert to fraction form
    11,696/16,140.48 = 6,728/x
  3. Step 3: Cross multiply
    11,696x = 16,140.48 × 6,728
  4. Step 4: Simplify right side
    11,696x = 108,593,149.44
  5. Step 5: Solve for x
    x = 108,593,149.44/11,696
  6. Step 6: Final answer
    x = 9,284.64

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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.