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Finding the Fourth Proportional to 34,234.40, 47,218.20 and 21,647

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Solution

The fourth proportional to 34,234.40, 47,218.20 and 21,647 is: 29,856.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,234.40 : 47,218.20 = 21,647 : x
  2. Step 2: Convert to fraction form
    34,234.40/47,218.20 = 21,647/x
  3. Step 3: Cross multiply
    34,234.40x = 47,218.20 × 21,647
  4. Step 4: Simplify right side
    34,234.40x = 1,022,132,375.40
  5. Step 5: Solve for x
    x = 1,022,132,375.40/34,234.40
  6. Step 6: Final answer
    x = 29,856.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.