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Finding the Fourth Proportional to 27,847.78, 41,770.98 and 8,126.51

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Solution

The fourth proportional to 27,847.78, 41,770.98 and 8,126.51 is: 12,189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,847.78 : 41,770.98 = 8,126.51 : x
  2. Step 2: Convert to fraction form
    27,847.78/41,770.98 = 8,126.51/x
  3. Step 3: Cross multiply
    27,847.78x = 41,770.98 × 8,126.51
  4. Step 4: Simplify right side
    27,847.78x = 339,452,286.68
  5. Step 5: Solve for x
    x = 339,452,286.68/27,847.78
  6. Step 6: Final answer
    x = 12,189.56

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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.