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Finding the Fourth Proportional to 2,414.88, 3,621.78 and 771.54

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Solution

The fourth proportional to 2,414.88, 3,621.78 and 771.54 is: 1,157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.88 : 3,621.78 = 771.54 : x
  2. Step 2: Convert to fraction form
    2,414.88/3,621.78 = 771.54/x
  3. Step 3: Cross multiply
    2,414.88x = 3,621.78 × 771.54
  4. Step 4: Simplify right side
    2,414.88x = 2,794,348.14
  5. Step 5: Solve for x
    x = 2,794,348.14/2,414.88
  6. Step 6: Final answer
    x = 1,157.14

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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.