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Finding the Fourth Proportional to 13,661, 20,493.56 and 4,893.83

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Solution

The fourth proportional to 13,661, 20,493.56 and 4,893.83 is: 7,341.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661 : 20,493.56 = 4,893.83 : x
  2. Step 2: Convert to fraction form
    13,661/20,493.56 = 4,893.83/x
  3. Step 3: Cross multiply
    13,661x = 20,493.56 × 4,893.83
  4. Step 4: Simplify right side
    13,661x = 100,291,998.73
  5. Step 5: Solve for x
    x = 100,291,998.73/13,661
  6. Step 6: Final answer
    x = 7,341.48

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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.