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Finding the Fourth Proportional to 20,942.28, 31,412.61 and 7,091.28

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Solution

The fourth proportional to 20,942.28, 31,412.61 and 7,091.28 is: 10,636.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,942.28 : 31,412.61 = 7,091.28 : x
  2. Step 2: Convert to fraction form
    20,942.28/31,412.61 = 7,091.28/x
  3. Step 3: Cross multiply
    20,942.28x = 31,412.61 × 7,091.28
  4. Step 4: Simplify right side
    20,942.28x = 222,755,613.04
  5. Step 5: Solve for x
    x = 222,755,613.04/20,942.28
  6. Step 6: Final answer
    x = 10,636.65

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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.