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Finding the Fourth Proportional to 4,723.21, 7,081.61 and 2,644.64

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Solution

The fourth proportional to 4,723.21, 7,081.61 and 2,644.64 is: 3,965.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.21 : 7,081.61 = 2,644.64 : x
  2. Step 2: Convert to fraction form
    4,723.21/7,081.61 = 2,644.64/x
  3. Step 3: Cross multiply
    4,723.21x = 7,081.61 × 2,644.64
  4. Step 4: Simplify right side
    4,723.21x = 18,728,295.85
  5. Step 5: Solve for x
    x = 18,728,295.85/4,723.21
  6. Step 6: Final answer
    x = 3,965.17

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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.