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Finding the Fourth Proportional to 20,624.40, 30,942.78 and 8,146.20

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Solution

The fourth proportional to 20,624.40, 30,942.78 and 8,146.20 is: 12,221.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,624.40 : 30,942.78 = 8,146.20 : x
  2. Step 2: Convert to fraction form
    20,624.40/30,942.78 = 8,146.20/x
  3. Step 3: Cross multiply
    20,624.40x = 30,942.78 × 8,146.20
  4. Step 4: Simplify right side
    20,624.40x = 252,066,074.44
  5. Step 5: Solve for x
    x = 252,066,074.44/20,624.40
  6. Step 6: Final answer
    x = 12,221.74

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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.