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Finding the Fourth Proportional to 34,262, 47,286.60 and 20,122.64

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Solution

The fourth proportional to 34,262, 47,286.60 and 20,122.64 is: 27,772.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,262 : 47,286.60 = 20,122.64 : x
  2. Step 2: Convert to fraction form
    34,262/47,286.60 = 20,122.64/x
  3. Step 3: Cross multiply
    34,262x = 47,286.60 × 20,122.64
  4. Step 4: Simplify right side
    34,262x = 951,531,228.62
  5. Step 5: Solve for x
    x = 951,531,228.62/34,262
  6. Step 6: Final answer
    x = 27,772.20

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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.