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Finding the Fourth Proportional to 3,642, 5,025.96 and 1,986

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Solution

The fourth proportional to 3,642, 5,025.96 and 1,986 is: 2,740.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642 : 5,025.96 = 1,986 : x
  2. Step 2: Convert to fraction form
    3,642/5,025.96 = 1,986/x
  3. Step 3: Cross multiply
    3,642x = 5,025.96 × 1,986
  4. Step 4: Simplify right side
    3,642x = 9,981,556.56
  5. Step 5: Solve for x
    x = 9,981,556.56/3,642
  6. Step 6: Final answer
    x = 2,740.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.