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Finding the Fourth Proportional to 8,379.78, 12,562.44 and 3,446.34

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Solution

The fourth proportional to 8,379.78, 12,562.44 and 3,446.34 is: 5,166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,379.78 : 12,562.44 = 3,446.34 : x
  2. Step 2: Convert to fraction form
    8,379.78/12,562.44 = 3,446.34/x
  3. Step 3: Cross multiply
    8,379.78x = 12,562.44 × 3,446.34
  4. Step 4: Simplify right side
    8,379.78x = 43,294,439.47
  5. Step 5: Solve for x
    x = 43,294,439.47/8,379.78
  6. Step 6: Final answer
    x = 5,166.54

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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.