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Finding the Fourth Proportional to 8,138.81, 12,209.81 and 3,458.77

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Solution

The fourth proportional to 8,138.81, 12,209.81 and 3,458.77 is: 5,188.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.81 : 12,209.81 = 3,458.77 : x
  2. Step 2: Convert to fraction form
    8,138.81/12,209.81 = 3,458.77/x
  3. Step 3: Cross multiply
    8,138.81x = 12,209.81 × 3,458.77
  4. Step 4: Simplify right side
    8,138.81x = 42,230,876.72
  5. Step 5: Solve for x
    x = 42,230,876.72/8,138.81
  6. Step 6: Final answer
    x = 5,188.83

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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.