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Finding the Fourth Proportional to 20,391.71, 30,579.24 and 7,909.34

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Solution

The fourth proportional to 20,391.71, 30,579.24 and 7,909.34 is: 11,860.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,391.71 : 30,579.24 = 7,909.34 : x
  2. Step 2: Convert to fraction form
    20,391.71/30,579.24 = 7,909.34/x
  3. Step 3: Cross multiply
    20,391.71x = 30,579.24 × 7,909.34
  4. Step 4: Simplify right side
    20,391.71x = 241,861,606.10
  5. Step 5: Solve for x
    x = 241,861,606.10/20,391.71
  6. Step 6: Final answer
    x = 11,860.78

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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.