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Finding the Fourth Proportional to 3,791.94, 5,234.13 and 2,220

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Solution

The fourth proportional to 3,791.94, 5,234.13 and 2,220 is: 3,064.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.94 : 5,234.13 = 2,220 : x
  2. Step 2: Convert to fraction form
    3,791.94/5,234.13 = 2,220/x
  3. Step 3: Cross multiply
    3,791.94x = 5,234.13 × 2,220
  4. Step 4: Simplify right side
    3,791.94x = 11,619,768.60
  5. Step 5: Solve for x
    x = 11,619,768.60/3,791.94
  6. Step 6: Final answer
    x = 3,064.33

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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.