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Finding the Fourth Proportional to 49,612, 74,418 and 12,676

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Solution

The fourth proportional to 49,612, 74,418 and 12,676 is: 19,014

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,612 : 74,418 = 12,676 : x
  2. Step 2: Convert to fraction form
    49,612/74,418 = 12,676/x
  3. Step 3: Cross multiply
    49,612x = 74,418 × 12,676
  4. Step 4: Simplify right side
    49,612x = 943,322,568
  5. Step 5: Solve for x
    x = 943,322,568/49,612
  6. Step 6: Final answer
    x = 19,014

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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.