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Finding the Fourth Proportional to 36,806, 50,792.28 and 21,902

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Solution

The fourth proportional to 36,806, 50,792.28 and 21,902 is: 30,224.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,806 : 50,792.28 = 21,902 : x
  2. Step 2: Convert to fraction form
    36,806/50,792.28 = 21,902/x
  3. Step 3: Cross multiply
    36,806x = 50,792.28 × 21,902
  4. Step 4: Simplify right side
    36,806x = 1,112,452,516.56
  5. Step 5: Solve for x
    x = 1,112,452,516.56/36,806
  6. Step 6: Final answer
    x = 30,224.76

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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.