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Finding the Fourth Proportional to 36,798, 50,787 and 21,902.64

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Solution

The fourth proportional to 36,798, 50,787 and 21,902.64 is: 30,229.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,798 : 50,787 = 21,902.64 : x
  2. Step 2: Convert to fraction form
    36,798/50,787 = 21,902.64/x
  3. Step 3: Cross multiply
    36,798x = 50,787 × 21,902.64
  4. Step 4: Simplify right side
    36,798x = 1,112,369,377.68
  5. Step 5: Solve for x
    x = 1,112,369,377.68/36,798
  6. Step 6: Final answer
    x = 30,229.07

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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.