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Finding the Fourth Proportional to 12,439, 17,165.82 and 6,850

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Solution

The fourth proportional to 12,439, 17,165.82 and 6,850 is: 9,453

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,439 : 17,165.82 = 6,850 : x
  2. Step 2: Convert to fraction form
    12,439/17,165.82 = 6,850/x
  3. Step 3: Cross multiply
    12,439x = 17,165.82 × 6,850
  4. Step 4: Simplify right side
    12,439x = 117,585,867
  5. Step 5: Solve for x
    x = 117,585,867/12,439
  6. Step 6: Final answer
    x = 9,453

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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.