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Finding the Fourth Proportional to 6,321.72, 8,723.70 and 3,669.96

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Solution

The fourth proportional to 6,321.72, 8,723.70 and 3,669.96 is: 5,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.72 : 8,723.70 = 3,669.96 : x
  2. Step 2: Convert to fraction form
    6,321.72/8,723.70 = 3,669.96/x
  3. Step 3: Cross multiply
    6,321.72x = 8,723.70 × 3,669.96
  4. Step 4: Simplify right side
    6,321.72x = 32,015,630.05
  5. Step 5: Solve for x
    x = 32,015,630.05/6,321.72
  6. Step 6: Final answer
    x = 5,064.39

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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.