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Finding the Fourth Proportional to 8,512.78, 12,769.17 and 2,669.84

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Solution

The fourth proportional to 8,512.78, 12,769.17 and 2,669.84 is: 4,004.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.78 : 12,769.17 = 2,669.84 : x
  2. Step 2: Convert to fraction form
    8,512.78/12,769.17 = 2,669.84/x
  3. Step 3: Cross multiply
    8,512.78x = 12,769.17 × 2,669.84
  4. Step 4: Simplify right side
    8,512.78x = 34,091,640.83
  5. Step 5: Solve for x
    x = 34,091,640.83/8,512.78
  6. Step 6: Final answer
    x = 4,004.76

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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.