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Finding the Fourth Proportional to 16,939, 23,375.82 and 10,315

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Solution

The fourth proportional to 16,939, 23,375.82 and 10,315 is: 14,234.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,939 : 23,375.82 = 10,315 : x
  2. Step 2: Convert to fraction form
    16,939/23,375.82 = 10,315/x
  3. Step 3: Cross multiply
    16,939x = 23,375.82 × 10,315
  4. Step 4: Simplify right side
    16,939x = 241,121,583.30
  5. Step 5: Solve for x
    x = 241,121,583.30/16,939
  6. Step 6: Final answer
    x = 14,234.70

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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.