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Finding the Fourth Proportional to 20,472.27, 30,706.64 and 12,464.97

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Solution

The fourth proportional to 20,472.27, 30,706.64 and 12,464.97 is: 18,696.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,472.27 : 30,706.64 = 12,464.97 : x
  2. Step 2: Convert to fraction form
    20,472.27/30,706.64 = 12,464.97/x
  3. Step 3: Cross multiply
    20,472.27x = 30,706.64 × 12,464.97
  4. Step 4: Simplify right side
    20,472.27x = 382,757,284.08
  5. Step 5: Solve for x
    x = 382,757,284.08/20,472.27
  6. Step 6: Final answer
    x = 18,696.38

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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.