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Finding the Fourth Proportional to 5,879.71, 8,113.46 and 3,489.27

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Solution

The fourth proportional to 5,879.71, 8,113.46 and 3,489.27 is: 4,814.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,879.71 : 8,113.46 = 3,489.27 : x
  2. Step 2: Convert to fraction form
    5,879.71/8,113.46 = 3,489.27/x
  3. Step 3: Cross multiply
    5,879.71x = 8,113.46 × 3,489.27
  4. Step 4: Simplify right side
    5,879.71x = 28,310,052.57
  5. Step 5: Solve for x
    x = 28,310,052.57/5,879.71
  6. Step 6: Final answer
    x = 4,814.87

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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.