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Finding the Fourth Proportional to 36,876, 55,314 and 11,936.88

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Solution

The fourth proportional to 36,876, 55,314 and 11,936.88 is: 17,905.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,876 : 55,314 = 11,936.88 : x
  2. Step 2: Convert to fraction form
    36,876/55,314 = 11,936.88/x
  3. Step 3: Cross multiply
    36,876x = 55,314 × 11,936.88
  4. Step 4: Simplify right side
    36,876x = 660,276,580.32
  5. Step 5: Solve for x
    x = 660,276,580.32/36,876
  6. Step 6: Final answer
    x = 17,905.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.