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Finding the Fourth Proportional to 27,879.20, 41,819.16 and 8,158.16

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Solution

The fourth proportional to 27,879.20, 41,819.16 and 8,158.16 is: 12,237.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,879.20 : 41,819.16 = 8,158.16 : x
  2. Step 2: Convert to fraction form
    27,879.20/41,819.16 = 8,158.16/x
  3. Step 3: Cross multiply
    27,879.20x = 41,819.16 × 8,158.16
  4. Step 4: Simplify right side
    27,879.20x = 341,167,398.35
  5. Step 5: Solve for x
    x = 341,167,398.35/27,879.20
  6. Step 6: Final answer
    x = 12,237.35

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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.