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Finding the Fourth Proportional to 8,722.96, 13,085 and 2,879.62

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Solution

The fourth proportional to 8,722.96, 13,085 and 2,879.62 is: 4,319.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,722.96 : 13,085 = 2,879.62 : x
  2. Step 2: Convert to fraction form
    8,722.96/13,085 = 2,879.62/x
  3. Step 3: Cross multiply
    8,722.96x = 13,085 × 2,879.62
  4. Step 4: Simplify right side
    8,722.96x = 37,679,827.70
  5. Step 5: Solve for x
    x = 37,679,827.70/8,722.96
  6. Step 6: Final answer
    x = 4,319.61

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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.