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Finding the Fourth Proportional to 27,879, 41,822.40 and 8,158.98

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Solution

The fourth proportional to 27,879, 41,822.40 and 8,158.98 is: 12,239.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,879 : 41,822.40 = 8,158.98 : x
  2. Step 2: Convert to fraction form
    27,879/41,822.40 = 8,158.98/x
  3. Step 3: Cross multiply
    27,879x = 41,822.40 × 8,158.98
  4. Step 4: Simplify right side
    27,879x = 341,228,125.15
  5. Step 5: Solve for x
    x = 341,228,125.15/27,879
  6. Step 6: Final answer
    x = 12,239.61

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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.