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Finding the Fourth Proportional to 27,843.81, 41,769.49 and 8,122.20

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Solution

The fourth proportional to 27,843.81, 41,769.49 and 8,122.20 is: 12,184.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,843.81 : 41,769.49 = 8,122.20 : x
  2. Step 2: Convert to fraction form
    27,843.81/41,769.49 = 8,122.20/x
  3. Step 3: Cross multiply
    27,843.81x = 41,769.49 × 8,122.20
  4. Step 4: Simplify right side
    27,843.81x = 339,259,942.83
  5. Step 5: Solve for x
    x = 339,259,942.83/27,843.81
  6. Step 6: Final answer
    x = 12,184.40

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1.5x scale

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.