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Finding the Fourth Proportional to 8,213.74, 11,331 and 5,379.86

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Solution

The fourth proportional to 8,213.74, 11,331 and 5,379.86 is: 7,421.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.74 : 11,331 = 5,379.86 : x
  2. Step 2: Convert to fraction form
    8,213.74/11,331 = 5,379.86/x
  3. Step 3: Cross multiply
    8,213.74x = 11,331 × 5,379.86
  4. Step 4: Simplify right side
    8,213.74x = 60,959,193.66
  5. Step 5: Solve for x
    x = 60,959,193.66/8,213.74
  6. Step 6: Final answer
    x = 7,421.61

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1.5x scale

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.