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Finding the Fourth Proportional to 36,798, 50,781.28 and 20,031.04

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Solution

The fourth proportional to 36,798, 50,781.28 and 20,031.04 is: 27,642.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,798 : 50,781.28 = 20,031.04 : x
  2. Step 2: Convert to fraction form
    36,798/50,781.28 = 20,031.04/x
  3. Step 3: Cross multiply
    36,798x = 50,781.28 × 20,031.04
  4. Step 4: Simplify right side
    36,798x = 1,017,201,850.93
  5. Step 5: Solve for x
    x = 1,017,201,850.93/36,798
  6. Step 6: Final answer
    x = 27,642.86

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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.