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Finding the Fourth Proportional to 20,000.49, 30,002.46 and 5,209.41

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Solution

The fourth proportional to 20,000.49, 30,002.46 and 5,209.41 is: 7,814.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,000.49 : 30,002.46 = 5,209.41 : x
  2. Step 2: Convert to fraction form
    20,000.49/30,002.46 = 5,209.41/x
  3. Step 3: Cross multiply
    20,000.49x = 30,002.46 × 5,209.41
  4. Step 4: Simplify right side
    20,000.49x = 156,295,115.15
  5. Step 5: Solve for x
    x = 156,295,115.15/20,000.49
  6. Step 6: Final answer
    x = 7,814.56

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1.5x scale

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.