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Finding the Fourth Proportional to 20,012, 30,008.57 and 11,694.42

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Solution

The fourth proportional to 20,012, 30,008.57 and 11,694.42 is: 17,536.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,012 : 30,008.57 = 11,694.42 : x
  2. Step 2: Convert to fraction form
    20,012/30,008.57 = 11,694.42/x
  3. Step 3: Cross multiply
    20,012x = 30,008.57 × 11,694.42
  4. Step 4: Simplify right side
    20,012x = 350,932,821.18
  5. Step 5: Solve for x
    x = 350,932,821.18/20,012
  6. Step 6: Final answer
    x = 17,536.12

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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.