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Finding the Fourth Proportional to 13,857, 20,785.50 and 5,540.76

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Solution

The fourth proportional to 13,857, 20,785.50 and 5,540.76 is: 8,311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857 : 20,785.50 = 5,540.76 : x
  2. Step 2: Convert to fraction form
    13,857/20,785.50 = 5,540.76/x
  3. Step 3: Cross multiply
    13,857x = 20,785.50 × 5,540.76
  4. Step 4: Simplify right side
    13,857x = 115,167,466.98
  5. Step 5: Solve for x
    x = 115,167,466.98/13,857
  6. Step 6: Final answer
    x = 8,311.14

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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.