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Finding the Fourth Proportional to 3,699.96, 5,105.97 and 2,021.33

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Solution

The fourth proportional to 3,699.96, 5,105.97 and 2,021.33 is: 2,789.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.96 : 5,105.97 = 2,021.33 : x
  2. Step 2: Convert to fraction form
    3,699.96/5,105.97 = 2,021.33/x
  3. Step 3: Cross multiply
    3,699.96x = 5,105.97 × 2,021.33
  4. Step 4: Simplify right side
    3,699.96x = 10,320,840.23
  5. Step 5: Solve for x
    x = 10,320,840.23/3,699.96
  6. Step 6: Final answer
    x = 2,789.45

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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.