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Finding the Fourth Proportional to 36,896.50, 50,917.12 and 20,129.50

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Solution

The fourth proportional to 36,896.50, 50,917.12 and 20,129.50 is: 27,778.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,896.50 : 50,917.12 = 20,129.50 : x
  2. Step 2: Convert to fraction form
    36,896.50/50,917.12 = 20,129.50/x
  3. Step 3: Cross multiply
    36,896.50x = 50,917.12 × 20,129.50
  4. Step 4: Simplify right side
    36,896.50x = 1,024,936,167.04
  5. Step 5: Solve for x
    x = 1,024,936,167.04/36,896.50
  6. Step 6: Final answer
    x = 27,778.68

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1.5x scale

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.