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Finding the Fourth Proportional to 16,839, 23,238.36 and 9,387

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Solution

The fourth proportional to 16,839, 23,238.36 and 9,387 is: 12,954.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,839 : 23,238.36 = 9,387 : x
  2. Step 2: Convert to fraction form
    16,839/23,238.36 = 9,387/x
  3. Step 3: Cross multiply
    16,839x = 23,238.36 × 9,387
  4. Step 4: Simplify right side
    16,839x = 218,138,485.32
  5. Step 5: Solve for x
    x = 218,138,485.32/16,839
  6. Step 6: Final answer
    x = 12,954.36

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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.