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Finding the Fourth Proportional to 10,806.86, 16,200.57 and 3,879.74

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Solution

The fourth proportional to 10,806.86, 16,200.57 and 3,879.74 is: 5,816.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.86 : 16,200.57 = 3,879.74 : x
  2. Step 2: Convert to fraction form
    10,806.86/16,200.57 = 3,879.74/x
  3. Step 3: Cross multiply
    10,806.86x = 16,200.57 × 3,879.74
  4. Step 4: Simplify right side
    10,806.86x = 62,853,999.45
  5. Step 5: Solve for x
    x = 62,853,999.45/10,806.86
  6. Step 6: Final answer
    x = 5,816.12

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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.