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Finding the Fourth Proportional to 13,814.71, 20,731.64 and 5,493.94

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Solution

The fourth proportional to 13,814.71, 20,731.64 and 5,493.94 is: 8,244.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.71 : 20,731.64 = 5,493.94 : x
  2. Step 2: Convert to fraction form
    13,814.71/20,731.64 = 5,493.94/x
  3. Step 3: Cross multiply
    13,814.71x = 20,731.64 × 5,493.94
  4. Step 4: Simplify right side
    13,814.71x = 113,898,306.96
  5. Step 5: Solve for x
    x = 113,898,306.96/13,814.71
  6. Step 6: Final answer
    x = 8,244.71

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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.