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Finding the Fourth Proportional to 16,834, 23,231.64 and 9,382

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Solution

The fourth proportional to 16,834, 23,231.64 and 9,382 is: 12,947.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,834 : 23,231.64 = 9,382 : x
  2. Step 2: Convert to fraction form
    16,834/23,231.64 = 9,382/x
  3. Step 3: Cross multiply
    16,834x = 23,231.64 × 9,382
  4. Step 4: Simplify right side
    16,834x = 217,959,246.48
  5. Step 5: Solve for x
    x = 217,959,246.48/16,834
  6. Step 6: Final answer
    x = 12,947.56

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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.