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Finding the Fourth Proportional to 2,231.75, 3,080.49 and 1,644

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Solution

The fourth proportional to 2,231.75, 3,080.49 and 1,644 is: 2,269.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.75 : 3,080.49 = 1,644 : x
  2. Step 2: Convert to fraction form
    2,231.75/3,080.49 = 1,644/x
  3. Step 3: Cross multiply
    2,231.75x = 3,080.49 × 1,644
  4. Step 4: Simplify right side
    2,231.75x = 5,064,325.56
  5. Step 5: Solve for x
    x = 5,064,325.56/2,231.75
  6. Step 6: Final answer
    x = 2,269.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.