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Finding the Fourth Proportional to 11,696.35, 16,141.43 and 6,660.78

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Solution

The fourth proportional to 11,696.35, 16,141.43 and 6,660.78 is: 9,192.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.35 : 16,141.43 = 6,660.78 : x
  2. Step 2: Convert to fraction form
    11,696.35/16,141.43 = 6,660.78/x
  3. Step 3: Cross multiply
    11,696.35x = 16,141.43 × 6,660.78
  4. Step 4: Simplify right side
    11,696.35x = 107,514,523.57
  5. Step 5: Solve for x
    x = 107,514,523.57/11,696.35
  6. Step 6: Final answer
    x = 9,192.14

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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.