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Finding the Fourth Proportional to 20,217.28, 30,326 and 7,069.68

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Solution

The fourth proportional to 20,217.28, 30,326 and 7,069.68 is: 10,604.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,217.28 : 30,326 = 7,069.68 : x
  2. Step 2: Convert to fraction form
    20,217.28/30,326 = 7,069.68/x
  3. Step 3: Cross multiply
    20,217.28x = 30,326 × 7,069.68
  4. Step 4: Simplify right side
    20,217.28x = 214,395,115.68
  5. Step 5: Solve for x
    x = 214,395,115.68/20,217.28
  6. Step 6: Final answer
    x = 10,604.55

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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.