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Finding the Fourth Proportional to 2,638.52, 3,958.31 and 883.70

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Solution

The fourth proportional to 2,638.52, 3,958.31 and 883.70 is: 1,325.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.52 : 3,958.31 = 883.70 : x
  2. Step 2: Convert to fraction form
    2,638.52/3,958.31 = 883.70/x
  3. Step 3: Cross multiply
    2,638.52x = 3,958.31 × 883.70
  4. Step 4: Simplify right side
    2,638.52x = 3,497,940.96
  5. Step 5: Solve for x
    x = 3,497,940.96/2,638.52
  6. Step 6: Final answer
    x = 1,325.72

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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.