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Finding the Fourth Proportional to 3,861, 5,328.25 and 2,092.64

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Solution

The fourth proportional to 3,861, 5,328.25 and 2,092.64 is: 2,887.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861 : 5,328.25 = 2,092.64 : x
  2. Step 2: Convert to fraction form
    3,861/5,328.25 = 2,092.64/x
  3. Step 3: Cross multiply
    3,861x = 5,328.25 × 2,092.64
  4. Step 4: Simplify right side
    3,861x = 11,150,077.21
  5. Step 5: Solve for x
    x = 11,150,077.21/3,861
  6. Step 6: Final answer
    x = 2,887.87

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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.