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Finding the Fourth Proportional to 16,961, 23,406.18 and 9,509

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Solution

The fourth proportional to 16,961, 23,406.18 and 9,509 is: 13,122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,961 : 23,406.18 = 9,509 : x
  2. Step 2: Convert to fraction form
    16,961/23,406.18 = 9,509/x
  3. Step 3: Cross multiply
    16,961x = 23,406.18 × 9,509
  4. Step 4: Simplify right side
    16,961x = 222,569,365.62
  5. Step 5: Solve for x
    x = 222,569,365.62/16,961
  6. Step 6: Final answer
    x = 13,122.42

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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.