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Finding the Fourth Proportional to 3,699.96, 5,105.94 and 2,021.40

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Solution

The fourth proportional to 3,699.96, 5,105.94 and 2,021.40 is: 2,789.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.96 : 5,105.94 = 2,021.40 : x
  2. Step 2: Convert to fraction form
    3,699.96/5,105.94 = 2,021.40/x
  3. Step 3: Cross multiply
    3,699.96x = 5,105.94 × 2,021.40
  4. Step 4: Simplify right side
    3,699.96x = 10,321,147.12
  5. Step 5: Solve for x
    x = 10,321,147.12/3,699.96
  6. Step 6: Final answer
    x = 2,789.53

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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.