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Finding the Fourth Proportional to 8,078.76, 12,112 and 4,180.68

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Solution

The fourth proportional to 8,078.76, 12,112 and 4,180.68 is: 6,267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.76 : 12,112 = 4,180.68 : x
  2. Step 2: Convert to fraction form
    8,078.76/12,112 = 4,180.68/x
  3. Step 3: Cross multiply
    8,078.76x = 12,112 × 4,180.68
  4. Step 4: Simplify right side
    8,078.76x = 50,636,396.16
  5. Step 5: Solve for x
    x = 50,636,396.16/8,078.76
  6. Step 6: Final answer
    x = 6,267.84

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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.