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Finding the Fourth Proportional to 2,232.82, 3,349.73 and 771.96

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Solution

The fourth proportional to 2,232.82, 3,349.73 and 771.96 is: 1,158.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.82 : 3,349.73 = 771.96 : x
  2. Step 2: Convert to fraction form
    2,232.82/3,349.73 = 771.96/x
  3. Step 3: Cross multiply
    2,232.82x = 3,349.73 × 771.96
  4. Step 4: Simplify right side
    2,232.82x = 2,585,872.06
  5. Step 5: Solve for x
    x = 2,585,872.06/2,232.82
  6. Step 6: Final answer
    x = 1,158.12

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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.