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Finding the Fourth Proportional to 36,714, 55,071 and 12,091.92

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Solution

The fourth proportional to 36,714, 55,071 and 12,091.92 is: 18,137.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,714 : 55,071 = 12,091.92 : x
  2. Step 2: Convert to fraction form
    36,714/55,071 = 12,091.92/x
  3. Step 3: Cross multiply
    36,714x = 55,071 × 12,091.92
  4. Step 4: Simplify right side
    36,714x = 665,914,126.32
  5. Step 5: Solve for x
    x = 665,914,126.32/36,714
  6. Step 6: Final answer
    x = 18,137.88

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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.