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Finding the Fourth Proportional to 8,379.50, 12,570.78 and 3,446.46

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Solution

The fourth proportional to 8,379.50, 12,570.78 and 3,446.46 is: 5,170.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,379.50 : 12,570.78 = 3,446.46 : x
  2. Step 2: Convert to fraction form
    8,379.50/12,570.78 = 3,446.46/x
  3. Step 3: Cross multiply
    8,379.50x = 12,570.78 × 3,446.46
  4. Step 4: Simplify right side
    8,379.50x = 43,324,690.44
  5. Step 5: Solve for x
    x = 43,324,690.44/8,379.50
  6. Step 6: Final answer
    x = 5,170.32

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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.