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Finding the Fourth Proportional to 3,836.90, 5,755.35 and 1,644.21

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Solution

The fourth proportional to 3,836.90, 5,755.35 and 1,644.21 is: 2,466.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.90 : 5,755.35 = 1,644.21 : x
  2. Step 2: Convert to fraction form
    3,836.90/5,755.35 = 1,644.21/x
  3. Step 3: Cross multiply
    3,836.90x = 5,755.35 × 1,644.21
  4. Step 4: Simplify right side
    3,836.90x = 9,463,004.02
  5. Step 5: Solve for x
    x = 9,463,004.02/3,836.90
  6. Step 6: Final answer
    x = 2,466.32

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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.