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Finding the Fourth Proportional to 3,796.86, 5,238.21 and 2,379.99

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Solution

The fourth proportional to 3,796.86, 5,238.21 and 2,379.99 is: 3,283.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.86 : 5,238.21 = 2,379.99 : x
  2. Step 2: Convert to fraction form
    3,796.86/5,238.21 = 2,379.99/x
  3. Step 3: Cross multiply
    3,796.86x = 5,238.21 × 2,379.99
  4. Step 4: Simplify right side
    3,796.86x = 12,466,887.42
  5. Step 5: Solve for x
    x = 12,466,887.42/3,796.86
  6. Step 6: Final answer
    x = 3,283.47

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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.