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Finding the Fourth Proportional to 20,494, 30,744.08 and 7,343.24

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Solution

The fourth proportional to 20,494, 30,744.08 and 7,343.24 is: 11,015.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,494 : 30,744.08 = 7,343.24 : x
  2. Step 2: Convert to fraction form
    20,494/30,744.08 = 7,343.24/x
  3. Step 3: Cross multiply
    20,494x = 30,744.08 × 7,343.24
  4. Step 4: Simplify right side
    20,494x = 225,761,158.02
  5. Step 5: Solve for x
    x = 225,761,158.02/20,494
  6. Step 6: Final answer
    x = 11,015.96

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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.