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Finding the Fourth Proportional to 2,620.58, 3,930.87 and 771.69

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Solution

The fourth proportional to 2,620.58, 3,930.87 and 771.69 is: 1,157.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.58 : 3,930.87 = 771.69 : x
  2. Step 2: Convert to fraction form
    2,620.58/3,930.87 = 771.69/x
  3. Step 3: Cross multiply
    2,620.58x = 3,930.87 × 771.69
  4. Step 4: Simplify right side
    2,620.58x = 3,033,413.07
  5. Step 5: Solve for x
    x = 3,033,413.07/2,620.58
  6. Step 6: Final answer
    x = 1,157.54

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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.