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Finding the Fourth Proportional to 3,819, 5,270.22 and 2,163

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Solution

The fourth proportional to 3,819, 5,270.22 and 2,163 is: 2,984.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819 : 5,270.22 = 2,163 : x
  2. Step 2: Convert to fraction form
    3,819/5,270.22 = 2,163/x
  3. Step 3: Cross multiply
    3,819x = 5,270.22 × 2,163
  4. Step 4: Simplify right side
    3,819x = 11,399,485.86
  5. Step 5: Solve for x
    x = 11,399,485.86/3,819
  6. Step 6: Final answer
    x = 2,984.94

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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.