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Finding the Fourth Proportional to 5,424.86, 8,141.92 and 3,868.68

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Solution

The fourth proportional to 5,424.86, 8,141.92 and 3,868.68 is: 5,806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.86 : 8,141.92 = 3,868.68 : x
  2. Step 2: Convert to fraction form
    5,424.86/8,141.92 = 3,868.68/x
  3. Step 3: Cross multiply
    5,424.86x = 8,141.92 × 3,868.68
  4. Step 4: Simplify right side
    5,424.86x = 31,498,473.39
  5. Step 5: Solve for x
    x = 31,498,473.39/5,424.86
  6. Step 6: Final answer
    x = 5,806.32

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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.