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Finding the Fourth Proportional to 27,934.47, 41,910.21 and 8,213.20

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Solution

The fourth proportional to 27,934.47, 41,910.21 and 8,213.20 is: 12,322.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,934.47 : 41,910.21 = 8,213.20 : x
  2. Step 2: Convert to fraction form
    27,934.47/41,910.21 = 8,213.20/x
  3. Step 3: Cross multiply
    27,934.47x = 41,910.21 × 8,213.20
  4. Step 4: Simplify right side
    27,934.47x = 344,216,832.00
  5. Step 5: Solve for x
    x = 344,216,832.00/27,934.47
  6. Step 6: Final answer
    x = 12,322.30

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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.