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Finding the Fourth Proportional to 36,712.88, 50,661.24 and 21,806

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Solution

The fourth proportional to 36,712.88, 50,661.24 and 21,806 is: 30,090.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,712.88 : 50,661.24 = 21,806 : x
  2. Step 2: Convert to fraction form
    36,712.88/50,661.24 = 21,806/x
  3. Step 3: Cross multiply
    36,712.88x = 50,661.24 × 21,806
  4. Step 4: Simplify right side
    36,712.88x = 1,104,718,999.44
  5. Step 5: Solve for x
    x = 1,104,718,999.44/36,712.88
  6. Step 6: Final answer
    x = 30,090.77

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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.