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Finding the Fourth Proportional to 19,194, 28,791 and 8,250

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Solution

The fourth proportional to 19,194, 28,791 and 8,250 is: 12,375

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,194 : 28,791 = 8,250 : x
  2. Step 2: Convert to fraction form
    19,194/28,791 = 8,250/x
  3. Step 3: Cross multiply
    19,194x = 28,791 × 8,250
  4. Step 4: Simplify right side
    19,194x = 237,525,750
  5. Step 5: Solve for x
    x = 237,525,750/19,194
  6. Step 6: Final answer
    x = 12,375

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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.