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Finding the Fourth Proportional to 3,952, 5,453.22 and 2,183.14

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Solution

The fourth proportional to 3,952, 5,453.22 and 2,183.14 is: 3,012.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952 : 5,453.22 = 2,183.14 : x
  2. Step 2: Convert to fraction form
    3,952/5,453.22 = 2,183.14/x
  3. Step 3: Cross multiply
    3,952x = 5,453.22 × 2,183.14
  4. Step 4: Simplify right side
    3,952x = 11,905,142.71
  5. Step 5: Solve for x
    x = 11,905,142.71/3,952
  6. Step 6: Final answer
    x = 3,012.43

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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.