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Finding the Fourth Proportional to 11,696.97, 16,142.77 and 6,662.77

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Solution

The fourth proportional to 11,696.97, 16,142.77 and 6,662.77 is: 9,195.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.97 : 16,142.77 = 6,662.77 : x
  2. Step 2: Convert to fraction form
    11,696.97/16,142.77 = 6,662.77/x
  3. Step 3: Cross multiply
    11,696.97x = 16,142.77 × 6,662.77
  4. Step 4: Simplify right side
    11,696.97x = 107,555,563.67
  5. Step 5: Solve for x
    x = 107,555,563.67/11,696.97
  6. Step 6: Final answer
    x = 9,195.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.