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Finding the Fourth Proportional to 27,746, 41,619 and 8,290

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Solution

The fourth proportional to 27,746, 41,619 and 8,290 is: 12,435

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,746 : 41,619 = 8,290 : x
  2. Step 2: Convert to fraction form
    27,746/41,619 = 8,290/x
  3. Step 3: Cross multiply
    27,746x = 41,619 × 8,290
  4. Step 4: Simplify right side
    27,746x = 345,021,510
  5. Step 5: Solve for x
    x = 345,021,510/27,746
  6. Step 6: Final answer
    x = 12,435

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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.