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Finding the Fourth Proportional to 3,644, 5,464.08 and 2,164.64

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Solution

The fourth proportional to 3,644, 5,464.08 and 2,164.64 is: 3,245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644 : 5,464.08 = 2,164.64 : x
  2. Step 2: Convert to fraction form
    3,644/5,464.08 = 2,164.64/x
  3. Step 3: Cross multiply
    3,644x = 5,464.08 × 2,164.64
  4. Step 4: Simplify right side
    3,644x = 11,827,766.13
  5. Step 5: Solve for x
    x = 11,827,766.13/3,644
  6. Step 6: Final answer
    x = 3,245.82

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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.