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Finding the Fourth Proportional to 3,042.63, 4,198.81 and 1,645.38

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Solution

The fourth proportional to 3,042.63, 4,198.81 and 1,645.38 is: 2,270.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.63 : 4,198.81 = 1,645.38 : x
  2. Step 2: Convert to fraction form
    3,042.63/4,198.81 = 1,645.38/x
  3. Step 3: Cross multiply
    3,042.63x = 4,198.81 × 1,645.38
  4. Step 4: Simplify right side
    3,042.63x = 6,908,638.00
  5. Step 5: Solve for x
    x = 6,908,638.00/3,042.63
  6. Step 6: Final answer
    x = 2,270.61

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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.