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Finding the Fourth Proportional to 20,494.14, 30,736.35 and 9,393.90

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Solution

The fourth proportional to 20,494.14, 30,736.35 and 9,393.90 is: 14,088.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,494.14 : 30,736.35 = 9,393.90 : x
  2. Step 2: Convert to fraction form
    20,494.14/30,736.35 = 9,393.90/x
  3. Step 3: Cross multiply
    20,494.14x = 30,736.35 × 9,393.90
  4. Step 4: Simplify right side
    20,494.14x = 288,734,198.27
  5. Step 5: Solve for x
    x = 288,734,198.27/20,494.14
  6. Step 6: Final answer
    x = 14,088.62

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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.