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Finding the Fourth Proportional to 20,640.21, 30,974.89 and 8,160.64

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Solution

The fourth proportional to 20,640.21, 30,974.89 and 8,160.64 is: 12,246.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,640.21 : 30,974.89 = 8,160.64 : x
  2. Step 2: Convert to fraction form
    20,640.21/30,974.89 = 8,160.64/x
  3. Step 3: Cross multiply
    20,640.21x = 30,974.89 × 8,160.64
  4. Step 4: Simplify right side
    20,640.21x = 252,774,926.33
  5. Step 5: Solve for x
    x = 252,774,926.33/20,640.21
  6. Step 6: Final answer
    x = 12,246.72

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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.