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Finding the Fourth Proportional to 20,573.04, 30,861 and 10,182

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Solution

The fourth proportional to 20,573.04, 30,861 and 10,182 is: 15,273.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,573.04 : 30,861 = 10,182 : x
  2. Step 2: Convert to fraction form
    20,573.04/30,861 = 10,182/x
  3. Step 3: Cross multiply
    20,573.04x = 30,861 × 10,182
  4. Step 4: Simplify right side
    20,573.04x = 314,226,702
  5. Step 5: Solve for x
    x = 314,226,702/20,573.04
  6. Step 6: Final answer
    x = 15,273.71

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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.