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Finding the Fourth Proportional to 36,782, 50,759.16 and 20,015.12

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Solution

The fourth proportional to 36,782, 50,759.16 and 20,015.12 is: 27,620.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,782 : 50,759.16 = 20,015.12 : x
  2. Step 2: Convert to fraction form
    36,782/50,759.16 = 20,015.12/x
  3. Step 3: Cross multiply
    36,782x = 50,759.16 × 20,015.12
  4. Step 4: Simplify right side
    36,782x = 1,015,950,678.50
  5. Step 5: Solve for x
    x = 1,015,950,678.50/36,782
  6. Step 6: Final answer
    x = 27,620.87

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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.