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Finding the Fourth Proportional to 3,835.06, 5,755.30 and 2,080.64

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Solution

The fourth proportional to 3,835.06, 5,755.30 and 2,080.64 is: 3,122.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.06 : 5,755.30 = 2,080.64 : x
  2. Step 2: Convert to fraction form
    3,835.06/5,755.30 = 2,080.64/x
  3. Step 3: Cross multiply
    3,835.06x = 5,755.30 × 2,080.64
  4. Step 4: Simplify right side
    3,835.06x = 11,974,707.39
  5. Step 5: Solve for x
    x = 11,974,707.39/3,835.06
  6. Step 6: Final answer
    x = 3,122.43

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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.