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Finding the Fourth Proportional to 8,112, 12,168.78 and 3,730.68

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Solution

The fourth proportional to 8,112, 12,168.78 and 3,730.68 is: 5,596.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112 : 12,168.78 = 3,730.68 : x
  2. Step 2: Convert to fraction form
    8,112/12,168.78 = 3,730.68/x
  3. Step 3: Cross multiply
    8,112x = 12,168.78 × 3,730.68
  4. Step 4: Simplify right side
    8,112x = 45,397,824.17
  5. Step 5: Solve for x
    x = 45,397,824.17/8,112
  6. Step 6: Final answer
    x = 5,596.38

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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.