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Finding the Fourth Proportional to 2,620.35, 3,930.66 and 771.44

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Solution

The fourth proportional to 2,620.35, 3,930.66 and 771.44 is: 1,157.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.35 : 3,930.66 = 771.44 : x
  2. Step 2: Convert to fraction form
    2,620.35/3,930.66 = 771.44/x
  3. Step 3: Cross multiply
    2,620.35x = 3,930.66 × 771.44
  4. Step 4: Simplify right side
    2,620.35x = 3,032,248.70
  5. Step 5: Solve for x
    x = 3,032,248.70/2,620.35
  6. Step 6: Final answer
    x = 1,157.19

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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.