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Finding the Fourth Proportional to 36,798, 50,781.42 and 20,031

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Solution

The fourth proportional to 36,798, 50,781.42 and 20,031 is: 27,642.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,798 : 50,781.42 = 20,031 : x
  2. Step 2: Convert to fraction form
    36,798/50,781.42 = 20,031/x
  3. Step 3: Cross multiply
    36,798x = 50,781.42 × 20,031
  4. Step 4: Simplify right side
    36,798x = 1,017,202,624.02
  5. Step 5: Solve for x
    x = 1,017,202,624.02/36,798
  6. Step 6: Final answer
    x = 27,642.88

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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.