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Finding the Fourth Proportional to 12,250, 18,375 and 6,778

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Solution

The fourth proportional to 12,250, 18,375 and 6,778 is: 10,167

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,250 : 18,375 = 6,778 : x
  2. Step 2: Convert to fraction form
    12,250/18,375 = 6,778/x
  3. Step 3: Cross multiply
    12,250x = 18,375 × 6,778
  4. Step 4: Simplify right side
    12,250x = 124,545,750
  5. Step 5: Solve for x
    x = 124,545,750/12,250
  6. Step 6: Final answer
    x = 10,167

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.