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Finding the Fourth Proportional to 20,634.75, 30,964.88 and 8,152.65

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Solution

The fourth proportional to 20,634.75, 30,964.88 and 8,152.65 is: 12,234.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,634.75 : 30,964.88 = 8,152.65 : x
  2. Step 2: Convert to fraction form
    20,634.75/30,964.88 = 8,152.65/x
  3. Step 3: Cross multiply
    20,634.75x = 30,964.88 × 8,152.65
  4. Step 4: Simplify right side
    20,634.75x = 252,445,828.93
  5. Step 5: Solve for x
    x = 252,445,828.93/20,634.75
  6. Step 6: Final answer
    x = 12,234.01

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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.