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Finding the Fourth Proportional to 36,750, 50,715 and 19,983

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Solution

The fourth proportional to 36,750, 50,715 and 19,983 is: 27,576.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,750 : 50,715 = 19,983 : x
  2. Step 2: Convert to fraction form
    36,750/50,715 = 19,983/x
  3. Step 3: Cross multiply
    36,750x = 50,715 × 19,983
  4. Step 4: Simplify right side
    36,750x = 1,013,437,845
  5. Step 5: Solve for x
    x = 1,013,437,845/36,750
  6. Step 6: Final answer
    x = 27,576.54

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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.