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Finding the Fourth Proportional to 20,654.92, 30,971.40 and 8,174.44

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Solution

The fourth proportional to 20,654.92, 30,971.40 and 8,174.44 is: 12,257.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,654.92 : 30,971.40 = 8,174.44 : x
  2. Step 2: Convert to fraction form
    20,654.92/30,971.40 = 8,174.44/x
  3. Step 3: Cross multiply
    20,654.92x = 30,971.40 × 8,174.44
  4. Step 4: Simplify right side
    20,654.92x = 253,173,851.02
  5. Step 5: Solve for x
    x = 253,173,851.02/20,654.92
  6. Step 6: Final answer
    x = 12,257.31

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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.