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Finding the Fourth Proportional to 2,763.97, 4,143.89 and 1,203.68

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Solution

The fourth proportional to 2,763.97, 4,143.89 and 1,203.68 is: 1,804.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.97 : 4,143.89 = 1,203.68 : x
  2. Step 2: Convert to fraction form
    2,763.97/4,143.89 = 1,203.68/x
  3. Step 3: Cross multiply
    2,763.97x = 4,143.89 × 1,203.68
  4. Step 4: Simplify right side
    2,763.97x = 4,987,899.80
  5. Step 5: Solve for x
    x = 4,987,899.80/2,763.97
  6. Step 6: Final answer
    x = 1,804.62

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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.