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Finding the Fourth Proportional to 20,438, 30,640.31 and 10,580.12

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Solution

The fourth proportional to 20,438, 30,640.31 and 10,580.12 is: 15,861.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,438 : 30,640.31 = 10,580.12 : x
  2. Step 2: Convert to fraction form
    20,438/30,640.31 = 10,580.12/x
  3. Step 3: Cross multiply
    20,438x = 30,640.31 × 10,580.12
  4. Step 4: Simplify right side
    20,438x = 324,178,103.74
  5. Step 5: Solve for x
    x = 324,178,103.74/20,438
  6. Step 6: Final answer
    x = 15,861.54

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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.