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Finding the Fourth Proportional to 2,650.52, 3,967.55 and 1,957.97

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Solution

The fourth proportional to 2,650.52, 3,967.55 and 1,957.97 is: 2,930.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.52 : 3,967.55 = 1,957.97 : x
  2. Step 2: Convert to fraction form
    2,650.52/3,967.55 = 1,957.97/x
  3. Step 3: Cross multiply
    2,650.52x = 3,967.55 × 1,957.97
  4. Step 4: Simplify right side
    2,650.52x = 7,768,343.87
  5. Step 5: Solve for x
    x = 7,768,343.87/2,650.52
  6. Step 6: Final answer
    x = 2,930.88

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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.