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Finding the Fourth Proportional to 16,716.72, 23,067 and 9,642

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Solution

The fourth proportional to 16,716.72, 23,067 and 9,642 is: 13,304.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,716.72 : 23,067 = 9,642 : x
  2. Step 2: Convert to fraction form
    16,716.72/23,067 = 9,642/x
  3. Step 3: Cross multiply
    16,716.72x = 23,067 × 9,642
  4. Step 4: Simplify right side
    16,716.72x = 222,412,014
  5. Step 5: Solve for x
    x = 222,412,014/16,716.72
  6. Step 6: Final answer
    x = 13,304.76

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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.