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Finding the Fourth Proportional to 2,097.78, 3,143.93 and 863.79

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Solution

The fourth proportional to 2,097.78, 3,143.93 and 863.79 is: 1,294.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.78 : 3,143.93 = 863.79 : x
  2. Step 2: Convert to fraction form
    2,097.78/3,143.93 = 863.79/x
  3. Step 3: Cross multiply
    2,097.78x = 3,143.93 × 863.79
  4. Step 4: Simplify right side
    2,097.78x = 2,715,695.29
  5. Step 5: Solve for x
    x = 2,715,695.29/2,097.78
  6. Step 6: Final answer
    x = 1,294.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.