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Finding the Fourth Proportional to 8,076.76, 12,109 and 4,178.68

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Solution

The fourth proportional to 8,076.76, 12,109 and 4,178.68 is: 6,264.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076.76 : 12,109 = 4,178.68 : x
  2. Step 2: Convert to fraction form
    8,076.76/12,109 = 4,178.68/x
  3. Step 3: Cross multiply
    8,076.76x = 12,109 × 4,178.68
  4. Step 4: Simplify right side
    8,076.76x = 50,599,636.12
  5. Step 5: Solve for x
    x = 50,599,636.12/8,076.76
  6. Step 6: Final answer
    x = 6,264.84

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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.