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Finding the Fourth Proportional to 2,863.64, 3,951.40 and 1,604.44

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Solution

The fourth proportional to 2,863.64, 3,951.40 and 1,604.44 is: 2,213.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.64 : 3,951.40 = 1,604.44 : x
  2. Step 2: Convert to fraction form
    2,863.64/3,951.40 = 1,604.44/x
  3. Step 3: Cross multiply
    2,863.64x = 3,951.40 × 1,604.44
  4. Step 4: Simplify right side
    2,863.64x = 6,339,784.22
  5. Step 5: Solve for x
    x = 6,339,784.22/2,863.64
  6. Step 6: Final answer
    x = 2,213.89

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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.