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Finding the Fourth Proportional to 8,187.90, 12,272.94 and 4,019.64

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Solution

The fourth proportional to 8,187.90, 12,272.94 and 4,019.64 is: 6,025.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.90 : 12,272.94 = 4,019.64 : x
  2. Step 2: Convert to fraction form
    8,187.90/12,272.94 = 4,019.64/x
  3. Step 3: Cross multiply
    8,187.90x = 12,272.94 × 4,019.64
  4. Step 4: Simplify right side
    8,187.90x = 49,332,800.54
  5. Step 5: Solve for x
    x = 49,332,800.54/8,187.90
  6. Step 6: Final answer
    x = 6,025.09

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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.