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Finding the Fourth Proportional to 2,414.90, 3,622.30 and 771.42

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Solution

The fourth proportional to 2,414.90, 3,622.30 and 771.42 is: 1,157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.90 : 3,622.30 = 771.42 : x
  2. Step 2: Convert to fraction form
    2,414.90/3,622.30 = 771.42/x
  3. Step 3: Cross multiply
    2,414.90x = 3,622.30 × 771.42
  4. Step 4: Simplify right side
    2,414.90x = 2,794,314.67
  5. Step 5: Solve for x
    x = 2,794,314.67/2,414.90
  6. Step 6: Final answer
    x = 1,157.11

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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.