Home / 2,198.39-3,030.37-1,638

Finding the Fourth Proportional to 2,198.39, 3,030.37 and 1,638

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Solution

The fourth proportional to 2,198.39, 3,030.37 and 1,638 is: 2,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.39 : 3,030.37 = 1,638 : x
  2. Step 2: Convert to fraction form
    2,198.39/3,030.37 = 1,638/x
  3. Step 3: Cross multiply
    2,198.39x = 3,030.37 × 1,638
  4. Step 4: Simplify right side
    2,198.39x = 4,963,741.97
  5. Step 5: Solve for x
    x = 4,963,741.97/2,198.39
  6. Step 6: Final answer
    x = 2,257.90

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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.