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Finding the Fourth Proportional to 27,747, 41,620.50 and 8,291

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Solution

The fourth proportional to 27,747, 41,620.50 and 8,291 is: 12,436.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,747 : 41,620.50 = 8,291 : x
  2. Step 2: Convert to fraction form
    27,747/41,620.50 = 8,291/x
  3. Step 3: Cross multiply
    27,747x = 41,620.50 × 8,291
  4. Step 4: Simplify right side
    27,747x = 345,075,565.50
  5. Step 5: Solve for x
    x = 345,075,565.50/27,747
  6. Step 6: Final answer
    x = 12,436.50

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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.