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Finding the Fourth Proportional to 8,112.63, 12,168.91 and 3,178.79

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Solution

The fourth proportional to 8,112.63, 12,168.91 and 3,178.79 is: 4,768.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.63 : 12,168.91 = 3,178.79 : x
  2. Step 2: Convert to fraction form
    8,112.63/12,168.91 = 3,178.79/x
  3. Step 3: Cross multiply
    8,112.63x = 12,168.91 × 3,178.79
  4. Step 4: Simplify right side
    8,112.63x = 38,682,340.63
  5. Step 5: Solve for x
    x = 38,682,340.63/8,112.63
  6. Step 6: Final answer
    x = 4,768.16

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1.5x scale

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.