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Finding the Fourth Proportional to 27,863.10, 41,796.09 and 8,143.20

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Solution

The fourth proportional to 27,863.10, 41,796.09 and 8,143.20 is: 12,215.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,863.10 : 41,796.09 = 8,143.20 : x
  2. Step 2: Convert to fraction form
    27,863.10/41,796.09 = 8,143.20/x
  3. Step 3: Cross multiply
    27,863.10x = 41,796.09 × 8,143.20
  4. Step 4: Simplify right side
    27,863.10x = 340,353,920.09
  5. Step 5: Solve for x
    x = 340,353,920.09/27,863.10
  6. Step 6: Final answer
    x = 12,215.22

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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.