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Finding the Fourth Proportional to 20,502.69, 30,743.39 and 9,399.81

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Solution

The fourth proportional to 20,502.69, 30,743.39 and 9,399.81 is: 14,094.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,502.69 : 30,743.39 = 9,399.81 : x
  2. Step 2: Convert to fraction form
    20,502.69/30,743.39 = 9,399.81/x
  3. Step 3: Cross multiply
    20,502.69x = 30,743.39 × 9,399.81
  4. Step 4: Simplify right side
    20,502.69x = 288,982,163.54
  5. Step 5: Solve for x
    x = 288,982,163.54/20,502.69
  6. Step 6: Final answer
    x = 14,094.84

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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.