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Finding the Fourth Proportional to 20,337, 30,505.52 and 8,025

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Solution

The fourth proportional to 20,337, 30,505.52 and 8,025 is: 12,037.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,337 : 30,505.52 = 8,025 : x
  2. Step 2: Convert to fraction form
    20,337/30,505.52 = 8,025/x
  3. Step 3: Cross multiply
    20,337x = 30,505.52 × 8,025
  4. Step 4: Simplify right side
    20,337x = 244,806,798
  5. Step 5: Solve for x
    x = 244,806,798/20,337
  6. Step 6: Final answer
    x = 12,037.51

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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.