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Finding the Fourth Proportional to 36,774, 50,748.12 and 20,007.12

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Solution

The fourth proportional to 36,774, 50,748.12 and 20,007.12 is: 27,609.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,774 : 50,748.12 = 20,007.12 : x
  2. Step 2: Convert to fraction form
    36,774/50,748.12 = 20,007.12/x
  3. Step 3: Cross multiply
    36,774x = 50,748.12 × 20,007.12
  4. Step 4: Simplify right side
    36,774x = 1,015,323,726.61
  5. Step 5: Solve for x
    x = 1,015,323,726.61/36,774
  6. Step 6: Final answer
    x = 27,609.83

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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.