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Finding the Fourth Proportional to 11,696, 16,135.62 and 7,661.68

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Solution

The fourth proportional to 11,696, 16,135.62 and 7,661.68 is: 10,569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696 : 16,135.62 = 7,661.68 : x
  2. Step 2: Convert to fraction form
    11,696/16,135.62 = 7,661.68/x
  3. Step 3: Cross multiply
    11,696x = 16,135.62 × 7,661.68
  4. Step 4: Simplify right side
    11,696x = 123,625,957.04
  5. Step 5: Solve for x
    x = 123,625,957.04/11,696
  6. Step 6: Final answer
    x = 10,569.93

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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.