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Finding the Fourth Proportional to 2,193, 3,026.25 and 1,198.31

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Solution

The fourth proportional to 2,193, 3,026.25 and 1,198.31 is: 1,653.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193 : 3,026.25 = 1,198.31 : x
  2. Step 2: Convert to fraction form
    2,193/3,026.25 = 1,198.31/x
  3. Step 3: Cross multiply
    2,193x = 3,026.25 × 1,198.31
  4. Step 4: Simplify right side
    2,193x = 3,626,370.51
  5. Step 5: Solve for x
    x = 3,626,370.51/2,193
  6. Step 6: Final answer
    x = 1,653.61

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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.