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Finding the Fourth Proportional to 27,840, 41,763.87 and 8,119.98

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Solution

The fourth proportional to 27,840, 41,763.87 and 8,119.98 is: 12,181.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,840 : 41,763.87 = 8,119.98 : x
  2. Step 2: Convert to fraction form
    27,840/41,763.87 = 8,119.98/x
  3. Step 3: Cross multiply
    27,840x = 41,763.87 × 8,119.98
  4. Step 4: Simplify right side
    27,840x = 339,121,789.12
  5. Step 5: Solve for x
    x = 339,121,789.12/27,840
  6. Step 6: Final answer
    x = 12,181.10

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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.