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Finding the Fourth Proportional to 20,285, 30,431.34 and 9,341

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Solution

The fourth proportional to 20,285, 30,431.34 and 9,341 is: 14,013.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,285 : 30,431.34 = 9,341 : x
  2. Step 2: Convert to fraction form
    20,285/30,431.34 = 9,341/x
  3. Step 3: Cross multiply
    20,285x = 30,431.34 × 9,341
  4. Step 4: Simplify right side
    20,285x = 284,259,146.94
  5. Step 5: Solve for x
    x = 284,259,146.94/20,285
  6. Step 6: Final answer
    x = 14,013.27

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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.