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Finding the Fourth Proportional to 3,696.49, 5,096.82 and 3,031.21

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Solution

The fourth proportional to 3,696.49, 5,096.82 and 3,031.21 is: 4,179.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.49 : 5,096.82 = 3,031.21 : x
  2. Step 2: Convert to fraction form
    3,696.49/5,096.82 = 3,031.21/x
  3. Step 3: Cross multiply
    3,696.49x = 5,096.82 × 3,031.21
  4. Step 4: Simplify right side
    3,696.49x = 15,449,531.75
  5. Step 5: Solve for x
    x = 15,449,531.75/3,696.49
  6. Step 6: Final answer
    x = 4,179.51

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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.