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Finding the Fourth Proportional to 2,135.09, 3,202.96 and 674.22

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Solution

The fourth proportional to 2,135.09, 3,202.96 and 674.22 is: 1,011.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.09 : 3,202.96 = 674.22 : x
  2. Step 2: Convert to fraction form
    2,135.09/3,202.96 = 674.22/x
  3. Step 3: Cross multiply
    2,135.09x = 3,202.96 × 674.22
  4. Step 4: Simplify right side
    2,135.09x = 2,159,499.69
  5. Step 5: Solve for x
    x = 2,159,499.69/2,135.09
  6. Step 6: Final answer
    x = 1,011.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.