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Finding the Fourth Proportional to 20,820, 31,234.32 and 8,508

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Solution

The fourth proportional to 20,820, 31,234.32 and 8,508 is: 12,763.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,820 : 31,234.32 = 8,508 : x
  2. Step 2: Convert to fraction form
    20,820/31,234.32 = 8,508/x
  3. Step 3: Cross multiply
    20,820x = 31,234.32 × 8,508
  4. Step 4: Simplify right side
    20,820x = 265,741,594.56
  5. Step 5: Solve for x
    x = 265,741,594.56/20,820
  6. Step 6: Final answer
    x = 12,763.77

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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.