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Finding the Fourth Proportional to 22,274, 30,738.12 and 12,339.92

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Solution

The fourth proportional to 22,274, 30,738.12 and 12,339.92 is: 17,029.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,274 : 30,738.12 = 12,339.92 : x
  2. Step 2: Convert to fraction form
    22,274/30,738.12 = 12,339.92/x
  3. Step 3: Cross multiply
    22,274x = 30,738.12 × 12,339.92
  4. Step 4: Simplify right side
    22,274x = 379,305,941.75
  5. Step 5: Solve for x
    x = 379,305,941.75/22,274
  6. Step 6: Final answer
    x = 17,029.09

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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.