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Finding the Fourth Proportional to 11,696.06, 16,128.26 and 7,712.07

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Solution

The fourth proportional to 11,696.06, 16,128.26 and 7,712.07 is: 10,634.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.06 : 16,128.26 = 7,712.07 : x
  2. Step 2: Convert to fraction form
    11,696.06/16,128.26 = 7,712.07/x
  3. Step 3: Cross multiply
    11,696.06x = 16,128.26 × 7,712.07
  4. Step 4: Simplify right side
    11,696.06x = 124,382,289.38
  5. Step 5: Solve for x
    x = 124,382,289.38/11,696.06
  6. Step 6: Final answer
    x = 10,634.55

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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.