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Finding the Fourth Proportional to 3,764.08, 5,644.05 and 2,989.06

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Solution

The fourth proportional to 3,764.08, 5,644.05 and 2,989.06 is: 4,481.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.08 : 5,644.05 = 2,989.06 : x
  2. Step 2: Convert to fraction form
    3,764.08/5,644.05 = 2,989.06/x
  3. Step 3: Cross multiply
    3,764.08x = 5,644.05 × 2,989.06
  4. Step 4: Simplify right side
    3,764.08x = 16,870,404.09
  5. Step 5: Solve for x
    x = 16,870,404.09/3,764.08
  6. Step 6: Final answer
    x = 4,481.95

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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.