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Finding the Fourth Proportional to 20,464.68, 30,696.66 and 8,152.68

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Solution

The fourth proportional to 20,464.68, 30,696.66 and 8,152.68 is: 12,228.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,464.68 : 30,696.66 = 8,152.68 : x
  2. Step 2: Convert to fraction form
    20,464.68/30,696.66 = 8,152.68/x
  3. Step 3: Cross multiply
    20,464.68x = 30,696.66 × 8,152.68
  4. Step 4: Simplify right side
    20,464.68x = 250,260,046.05
  5. Step 5: Solve for x
    x = 250,260,046.05/20,464.68
  6. Step 6: Final answer
    x = 12,228.88

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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.