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Finding the Fourth Proportional to 22,447.38, 30,976.86 and 12,375.78

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Solution

The fourth proportional to 22,447.38, 30,976.86 and 12,375.78 is: 17,078.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,447.38 : 30,976.86 = 12,375.78 : x
  2. Step 2: Convert to fraction form
    22,447.38/30,976.86 = 12,375.78/x
  3. Step 3: Cross multiply
    22,447.38x = 30,976.86 × 12,375.78
  4. Step 4: Simplify right side
    22,447.38x = 383,362,804.45
  5. Step 5: Solve for x
    x = 383,362,804.45/22,447.38
  6. Step 6: Final answer
    x = 17,078.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.