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Finding the Fourth Proportional to 20,540.94, 30,811.32 and 7,393.29

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Solution

The fourth proportional to 20,540.94, 30,811.32 and 7,393.29 is: 11,089.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,540.94 : 30,811.32 = 7,393.29 : x
  2. Step 2: Convert to fraction form
    20,540.94/30,811.32 = 7,393.29/x
  3. Step 3: Cross multiply
    20,540.94x = 30,811.32 × 7,393.29
  4. Step 4: Simplify right side
    20,540.94x = 227,797,024.04
  5. Step 5: Solve for x
    x = 227,797,024.04/20,540.94
  6. Step 6: Final answer
    x = 11,089.90

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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.