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Finding the Fourth Proportional to 20,630.26, 30,945.98 and 5,047.88

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Solution

The fourth proportional to 20,630.26, 30,945.98 and 5,047.88 is: 7,571.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,630.26 : 30,945.98 = 5,047.88 : x
  2. Step 2: Convert to fraction form
    20,630.26/30,945.98 = 5,047.88/x
  3. Step 3: Cross multiply
    20,630.26x = 30,945.98 × 5,047.88
  4. Step 4: Simplify right side
    20,630.26x = 156,211,593.52
  5. Step 5: Solve for x
    x = 156,211,593.52/20,630.26
  6. Step 6: Final answer
    x = 7,571.96

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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.