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Finding the Fourth Proportional to 3,691.84, 5,083.86 and 3,298.72

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Solution

The fourth proportional to 3,691.84, 5,083.86 and 3,298.72 is: 4,542.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.84 : 5,083.86 = 3,298.72 : x
  2. Step 2: Convert to fraction form
    3,691.84/5,083.86 = 3,298.72/x
  3. Step 3: Cross multiply
    3,691.84x = 5,083.86 × 3,298.72
  4. Step 4: Simplify right side
    3,691.84x = 16,770,230.66
  5. Step 5: Solve for x
    x = 16,770,230.66/3,691.84
  6. Step 6: Final answer
    x = 4,542.51

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1.5x scale

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.