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Finding the Fourth Proportional to 3,699.67, 5,105.67 and 2,208.73

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Solution

The fourth proportional to 3,699.67, 5,105.67 and 2,208.73 is: 3,048.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.67 : 5,105.67 = 2,208.73 : x
  2. Step 2: Convert to fraction form
    3,699.67/5,105.67 = 2,208.73/x
  3. Step 3: Cross multiply
    3,699.67x = 5,105.67 × 2,208.73
  4. Step 4: Simplify right side
    3,699.67x = 11,277,046.50
  5. Step 5: Solve for x
    x = 11,277,046.50/3,699.67
  6. Step 6: Final answer
    x = 3,048.12

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1.5x scale

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.