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Finding the Fourth Proportional to 3,690.72, 5,072.21 and 3,321.64

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Solution

The fourth proportional to 3,690.72, 5,072.21 and 3,321.64 is: 4,564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.72 : 5,072.21 = 3,321.64 : x
  2. Step 2: Convert to fraction form
    3,690.72/5,072.21 = 3,321.64/x
  3. Step 3: Cross multiply
    3,690.72x = 5,072.21 × 3,321.64
  4. Step 4: Simplify right side
    3,690.72x = 16,848,055.62
  5. Step 5: Solve for x
    x = 16,848,055.62/3,690.72
  6. Step 6: Final answer
    x = 4,564.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.