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Finding the Fourth Proportional to 12,275, 16,939.50 and 6,686

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Solution

The fourth proportional to 12,275, 16,939.50 and 6,686 is: 9,226.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,275 : 16,939.50 = 6,686 : x
  2. Step 2: Convert to fraction form
    12,275/16,939.50 = 6,686/x
  3. Step 3: Cross multiply
    12,275x = 16,939.50 × 6,686
  4. Step 4: Simplify right side
    12,275x = 113,257,497
  5. Step 5: Solve for x
    x = 113,257,497/12,275
  6. Step 6: Final answer
    x = 9,226.68

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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.