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Finding the Fourth Proportional to 13,605.82, 20,415 and 6,212.54

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Solution

The fourth proportional to 13,605.82, 20,415 and 6,212.54 is: 9,321.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.82 : 20,415 = 6,212.54 : x
  2. Step 2: Convert to fraction form
    13,605.82/20,415 = 6,212.54/x
  3. Step 3: Cross multiply
    13,605.82x = 20,415 × 6,212.54
  4. Step 4: Simplify right side
    13,605.82x = 126,829,004.10
  5. Step 5: Solve for x
    x = 126,829,004.10/13,605.82
  6. Step 6: Final answer
    x = 9,321.67

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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.