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Finding the Fourth Proportional to 3,691.76, 5,086.68 and 2,696

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Solution

The fourth proportional to 3,691.76, 5,086.68 and 2,696 is: 3,714.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.76 : 5,086.68 = 2,696 : x
  2. Step 2: Convert to fraction form
    3,691.76/5,086.68 = 2,696/x
  3. Step 3: Cross multiply
    3,691.76x = 5,086.68 × 2,696
  4. Step 4: Simplify right side
    3,691.76x = 13,713,689.28
  5. Step 5: Solve for x
    x = 13,713,689.28/3,691.76
  6. Step 6: Final answer
    x = 3,714.68

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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.