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Finding the Fourth Proportional to 2,608.11, 3,599.11 and 1,429.16

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Solution

The fourth proportional to 2,608.11, 3,599.11 and 1,429.16 is: 1,972.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.11 : 3,599.11 = 1,429.16 : x
  2. Step 2: Convert to fraction form
    2,608.11/3,599.11 = 1,429.16/x
  3. Step 3: Cross multiply
    2,608.11x = 3,599.11 × 1,429.16
  4. Step 4: Simplify right side
    2,608.11x = 5,143,687.84
  5. Step 5: Solve for x
    x = 5,143,687.84/2,608.11
  6. Step 6: Final answer
    x = 1,972.19

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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.