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Finding the Fourth Proportional to 3,876.84, 5,814.21 and 2,644.02

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Solution

The fourth proportional to 3,876.84, 5,814.21 and 2,644.02 is: 3,965.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.84 : 5,814.21 = 2,644.02 : x
  2. Step 2: Convert to fraction form
    3,876.84/5,814.21 = 2,644.02/x
  3. Step 3: Cross multiply
    3,876.84x = 5,814.21 × 2,644.02
  4. Step 4: Simplify right side
    3,876.84x = 15,372,887.52
  5. Step 5: Solve for x
    x = 15,372,887.52/3,876.84
  6. Step 6: Final answer
    x = 3,965.31

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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.