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Finding the Fourth Proportional to 11,824, 16,305 and 7,791.88

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Solution

The fourth proportional to 11,824, 16,305 and 7,791.88 is: 10,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,824 : 16,305 = 7,791.88 : x
  2. Step 2: Convert to fraction form
    11,824/16,305 = 7,791.88/x
  3. Step 3: Cross multiply
    11,824x = 16,305 × 7,791.88
  4. Step 4: Simplify right side
    11,824x = 127,046,603.40
  5. Step 5: Solve for x
    x = 127,046,603.40/11,824
  6. Step 6: Final answer
    x = 10,744.81

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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.