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Finding the Fourth Proportional to 12,824, 17,697.12 and 6,936

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Solution

The fourth proportional to 12,824, 17,697.12 and 6,936 is: 9,571.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,824 : 17,697.12 = 6,936 : x
  2. Step 2: Convert to fraction form
    12,824/17,697.12 = 6,936/x
  3. Step 3: Cross multiply
    12,824x = 17,697.12 × 6,936
  4. Step 4: Simplify right side
    12,824x = 122,747,224.32
  5. Step 5: Solve for x
    x = 122,747,224.32/12,824
  6. Step 6: Final answer
    x = 9,571.68

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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.