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Finding the Fourth Proportional to 12,449, 17,179.80 and 6,860

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Solution

The fourth proportional to 12,449, 17,179.80 and 6,860 is: 9,466.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,449 : 17,179.80 = 6,860 : x
  2. Step 2: Convert to fraction form
    12,449/17,179.80 = 6,860/x
  3. Step 3: Cross multiply
    12,449x = 17,179.80 × 6,860
  4. Step 4: Simplify right side
    12,449x = 117,853,428
  5. Step 5: Solve for x
    x = 117,853,428/12,449
  6. Step 6: Final answer
    x = 9,466.90

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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.