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Finding the Fourth Proportional to 36,775, 50,749.50 and 20,008.12

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Solution

The fourth proportional to 36,775, 50,749.50 and 20,008.12 is: 27,611.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,775 : 50,749.50 = 20,008.12 : x
  2. Step 2: Convert to fraction form
    36,775/50,749.50 = 20,008.12/x
  3. Step 3: Cross multiply
    36,775x = 50,749.50 × 20,008.12
  4. Step 4: Simplify right side
    36,775x = 1,015,402,085.94
  5. Step 5: Solve for x
    x = 1,015,402,085.94/36,775
  6. Step 6: Final answer
    x = 27,611.21

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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.