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Finding the Fourth Proportional to 3,611.82, 4,986.46 and 2,286.66

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Solution

The fourth proportional to 3,611.82, 4,986.46 and 2,286.66 is: 3,156.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,611.82 : 4,986.46 = 2,286.66 : x
  2. Step 2: Convert to fraction form
    3,611.82/4,986.46 = 2,286.66/x
  3. Step 3: Cross multiply
    3,611.82x = 4,986.46 × 2,286.66
  4. Step 4: Simplify right side
    3,611.82x = 11,402,338.62
  5. Step 5: Solve for x
    x = 11,402,338.62/3,611.82
  6. Step 6: Final answer
    x = 3,156.95

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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.