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Finding the Fourth Proportional to 2,620.52, 3,930.20 and 771.77

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Solution

The fourth proportional to 2,620.52, 3,930.20 and 771.77 is: 1,157.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.52 : 3,930.20 = 771.77 : x
  2. Step 2: Convert to fraction form
    2,620.52/3,930.20 = 771.77/x
  3. Step 3: Cross multiply
    2,620.52x = 3,930.20 × 771.77
  4. Step 4: Simplify right side
    2,620.52x = 3,033,186.94
  5. Step 5: Solve for x
    x = 3,033,186.94/2,620.52
  6. Step 6: Final answer
    x = 1,157.48

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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.