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Finding the Fourth Proportional to 3,986.61, 5,977.21 and 2,232.82

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Solution

The fourth proportional to 3,986.61, 5,977.21 and 2,232.82 is: 3,347.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.61 : 5,977.21 = 2,232.82 : x
  2. Step 2: Convert to fraction form
    3,986.61/5,977.21 = 2,232.82/x
  3. Step 3: Cross multiply
    3,986.61x = 5,977.21 × 2,232.82
  4. Step 4: Simplify right side
    3,986.61x = 13,346,044.29
  5. Step 5: Solve for x
    x = 13,346,044.29/3,986.61
  6. Step 6: Final answer
    x = 3,347.71

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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.