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Finding the Fourth Proportional to 27,138.40, 40,713.41 and 8,418.03

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Solution

The fourth proportional to 27,138.40, 40,713.41 and 8,418.03 is: 12,628.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,138.40 : 40,713.41 = 8,418.03 : x
  2. Step 2: Convert to fraction form
    27,138.40/40,713.41 = 8,418.03/x
  3. Step 3: Cross multiply
    27,138.40x = 40,713.41 × 8,418.03
  4. Step 4: Simplify right side
    27,138.40x = 342,726,706.78
  5. Step 5: Solve for x
    x = 342,726,706.78/27,138.40
  6. Step 6: Final answer
    x = 12,628.85

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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.