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Finding the Fourth Proportional to 3,098.88, 4,650.39 and 1,639.08

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Solution

The fourth proportional to 3,098.88, 4,650.39 and 1,639.08 is: 2,459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.88 : 4,650.39 = 1,639.08 : x
  2. Step 2: Convert to fraction form
    3,098.88/4,650.39 = 1,639.08/x
  3. Step 3: Cross multiply
    3,098.88x = 4,650.39 × 1,639.08
  4. Step 4: Simplify right side
    3,098.88x = 7,622,361.24
  5. Step 5: Solve for x
    x = 7,622,361.24/3,098.88
  6. Step 6: Final answer
    x = 2,459.71

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Why These Related Problems?

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