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Finding the Fourth Proportional to 4,644, 6,963.12 and 2,179.44

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Solution

The fourth proportional to 4,644, 6,963.12 and 2,179.44 is: 3,267.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644 : 6,963.12 = 2,179.44 : x
  2. Step 2: Convert to fraction form
    4,644/6,963.12 = 2,179.44/x
  3. Step 3: Cross multiply
    4,644x = 6,963.12 × 2,179.44
  4. Step 4: Simplify right side
    4,644x = 15,175,702.25
  5. Step 5: Solve for x
    x = 15,175,702.25/4,644
  6. Step 6: Final answer
    x = 3,267.81

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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.