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Finding the Fourth Proportional to 20,763, 31,157.46 and 8,451

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Solution

The fourth proportional to 20,763, 31,157.46 and 8,451 is: 12,681.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,763 : 31,157.46 = 8,451 : x
  2. Step 2: Convert to fraction form
    20,763/31,157.46 = 8,451/x
  3. Step 3: Cross multiply
    20,763x = 31,157.46 × 8,451
  4. Step 4: Simplify right side
    20,763x = 263,311,694.46
  5. Step 5: Solve for x
    x = 263,311,694.46/20,763
  6. Step 6: Final answer
    x = 12,681.78

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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.