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Finding the Fourth Proportional to 3,854.35, 5,786.49 and 2,006.74

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Solution

The fourth proportional to 3,854.35, 5,786.49 and 2,006.74 is: 3,012.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.35 : 5,786.49 = 2,006.74 : x
  2. Step 2: Convert to fraction form
    3,854.35/5,786.49 = 2,006.74/x
  3. Step 3: Cross multiply
    3,854.35x = 5,786.49 × 2,006.74
  4. Step 4: Simplify right side
    3,854.35x = 11,611,980.94
  5. Step 5: Solve for x
    x = 11,611,980.94/3,854.35
  6. Step 6: Final answer
    x = 3,012.69

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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.