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Finding the Fourth Proportional to 3,097.43, 4,274 and 1,838.54

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Solution

The fourth proportional to 3,097.43, 4,274 and 1,838.54 is: 2,536.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.43 : 4,274 = 1,838.54 : x
  2. Step 2: Convert to fraction form
    3,097.43/4,274 = 1,838.54/x
  3. Step 3: Cross multiply
    3,097.43x = 4,274 × 1,838.54
  4. Step 4: Simplify right side
    3,097.43x = 7,857,919.96
  5. Step 5: Solve for x
    x = 7,857,919.96/3,097.43
  6. Step 6: Final answer
    x = 2,536.92

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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.