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Finding the Fourth Proportional to 3,689.76, 5,083.92 and 2,694

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Solution

The fourth proportional to 3,689.76, 5,083.92 and 2,694 is: 3,711.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.76 : 5,083.92 = 2,694 : x
  2. Step 2: Convert to fraction form
    3,689.76/5,083.92 = 2,694/x
  3. Step 3: Cross multiply
    3,689.76x = 5,083.92 × 2,694
  4. Step 4: Simplify right side
    3,689.76x = 13,696,080.48
  5. Step 5: Solve for x
    x = 13,696,080.48/3,689.76
  6. Step 6: Final answer
    x = 3,711.92

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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.