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Finding the Fourth Proportional to 20,514.69, 30,769.29 and 5,722.37

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Solution

The fourth proportional to 20,514.69, 30,769.29 and 5,722.37 is: 8,582.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,514.69 : 30,769.29 = 5,722.37 : x
  2. Step 2: Convert to fraction form
    20,514.69/30,769.29 = 5,722.37/x
  3. Step 3: Cross multiply
    20,514.69x = 30,769.29 × 5,722.37
  4. Step 4: Simplify right side
    20,514.69x = 176,073,108.17
  5. Step 5: Solve for x
    x = 176,073,108.17/20,514.69
  6. Step 6: Final answer
    x = 8,582.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.