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Finding the Fourth Proportional to 5,469.78, 8,205.46 and 2,006.76

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Solution

The fourth proportional to 5,469.78, 8,205.46 and 2,006.76 is: 3,010.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.78 : 8,205.46 = 2,006.76 : x
  2. Step 2: Convert to fraction form
    5,469.78/8,205.46 = 2,006.76/x
  3. Step 3: Cross multiply
    5,469.78x = 8,205.46 × 2,006.76
  4. Step 4: Simplify right side
    5,469.78x = 16,466,388.91
  5. Step 5: Solve for x
    x = 16,466,388.91/5,469.78
  6. Step 6: Final answer
    x = 3,010.43

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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.