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Finding the Fourth Proportional to 1,791.39, 2,474.49 and 1,604.86

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Solution

The fourth proportional to 1,791.39, 2,474.49 and 1,604.86 is: 2,216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.39 : 2,474.49 = 1,604.86 : x
  2. Step 2: Convert to fraction form
    1,791.39/2,474.49 = 1,604.86/x
  3. Step 3: Cross multiply
    1,791.39x = 2,474.49 × 1,604.86
  4. Step 4: Simplify right side
    1,791.39x = 3,971,210.02
  5. Step 5: Solve for x
    x = 3,971,210.02/1,791.39
  6. Step 6: Final answer
    x = 2,216.83

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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.