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Finding the Fourth Proportional to 22,202.76, 30,640.74 and 12,771.33

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Solution

The fourth proportional to 22,202.76, 30,640.74 and 12,771.33 is: 17,624.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,202.76 : 30,640.74 = 12,771.33 : x
  2. Step 2: Convert to fraction form
    22,202.76/30,640.74 = 12,771.33/x
  3. Step 3: Cross multiply
    22,202.76x = 30,640.74 × 12,771.33
  4. Step 4: Simplify right side
    22,202.76x = 391,323,001.98
  5. Step 5: Solve for x
    x = 391,323,001.98/22,202.76
  6. Step 6: Final answer
    x = 17,624.97

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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.