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Finding the Fourth Proportional to 3,083.75, 4,250.58 and 2,410.38

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Solution

The fourth proportional to 3,083.75, 4,250.58 and 2,410.38 is: 3,322.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.75 : 4,250.58 = 2,410.38 : x
  2. Step 2: Convert to fraction form
    3,083.75/4,250.58 = 2,410.38/x
  3. Step 3: Cross multiply
    3,083.75x = 4,250.58 × 2,410.38
  4. Step 4: Simplify right side
    3,083.75x = 10,245,513.02
  5. Step 5: Solve for x
    x = 10,245,513.02/3,083.75
  6. Step 6: Final answer
    x = 3,322.42

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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.