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Finding the Fourth Proportional to 22,270.78, 30,733.62 and 12,334.78

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Solution

The fourth proportional to 22,270.78, 30,733.62 and 12,334.78 is: 17,021.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,270.78 : 30,733.62 = 12,334.78 : x
  2. Step 2: Convert to fraction form
    22,270.78/30,733.62 = 12,334.78/x
  3. Step 3: Cross multiply
    22,270.78x = 30,733.62 × 12,334.78
  4. Step 4: Simplify right side
    22,270.78x = 379,092,441.30
  5. Step 5: Solve for x
    x = 379,092,441.30/22,270.78
  6. Step 6: Final answer
    x = 17,021.97

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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.