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Finding the Fourth Proportional to 20,542, 30,809.91 and 5,749

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Solution

The fourth proportional to 20,542, 30,809.91 and 5,749 is: 8,622.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,542 : 30,809.91 = 5,749 : x
  2. Step 2: Convert to fraction form
    20,542/30,809.91 = 5,749/x
  3. Step 3: Cross multiply
    20,542x = 30,809.91 × 5,749
  4. Step 4: Simplify right side
    20,542x = 177,126,172.59
  5. Step 5: Solve for x
    x = 177,126,172.59/20,542
  6. Step 6: Final answer
    x = 8,622.64

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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.