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Finding the Fourth Proportional to 22,202.42, 30,640.26 and 12,771

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Solution

The fourth proportional to 22,202.42, 30,640.26 and 12,771 is: 17,624.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,202.42 : 30,640.26 = 12,771 : x
  2. Step 2: Convert to fraction form
    22,202.42/30,640.26 = 12,771/x
  3. Step 3: Cross multiply
    22,202.42x = 30,640.26 × 12,771
  4. Step 4: Simplify right side
    22,202.42x = 391,306,760.46
  5. Step 5: Solve for x
    x = 391,306,760.46/22,202.42
  6. Step 6: Final answer
    x = 17,624.51

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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.