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Finding the Fourth Proportional to 20,500.20, 30,764.70 and 8,821.80

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Solution

The fourth proportional to 20,500.20, 30,764.70 and 8,821.80 is: 13,238.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,500.20 : 30,764.70 = 8,821.80 : x
  2. Step 2: Convert to fraction form
    20,500.20/30,764.70 = 8,821.80/x
  3. Step 3: Cross multiply
    20,500.20x = 30,764.70 × 8,821.80
  4. Step 4: Simplify right side
    20,500.20x = 271,400,030.46
  5. Step 5: Solve for x
    x = 271,400,030.46/20,500.20
  6. Step 6: Final answer
    x = 13,238.90

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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.