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Finding the Fourth Proportional to 2,943.42, 4,414.62 and 863.39

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Solution

The fourth proportional to 2,943.42, 4,414.62 and 863.39 is: 1,294.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.42 : 4,414.62 = 863.39 : x
  2. Step 2: Convert to fraction form
    2,943.42/4,414.62 = 863.39/x
  3. Step 3: Cross multiply
    2,943.42x = 4,414.62 × 863.39
  4. Step 4: Simplify right side
    2,943.42x = 3,811,516.69
  5. Step 5: Solve for x
    x = 3,811,516.69/2,943.42
  6. Step 6: Final answer
    x = 1,294.93

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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.