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Finding the Fourth Proportional to 27,137.54, 40,701.65 and 8,161.88

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Solution

The fourth proportional to 27,137.54, 40,701.65 and 8,161.88 is: 12,241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,137.54 : 40,701.65 = 8,161.88 : x
  2. Step 2: Convert to fraction form
    27,137.54/40,701.65 = 8,161.88/x
  3. Step 3: Cross multiply
    27,137.54x = 40,701.65 × 8,161.88
  4. Step 4: Simplify right side
    27,137.54x = 332,201,738.78
  5. Step 5: Solve for x
    x = 332,201,738.78/27,137.54
  6. Step 6: Final answer
    x = 12,241.41

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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.