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Finding the Fourth Proportional to 2,117.92, 3,174.96 and 1,204

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Solution

The fourth proportional to 2,117.92, 3,174.96 and 1,204 is: 1,804.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.92 : 3,174.96 = 1,204 : x
  2. Step 2: Convert to fraction form
    2,117.92/3,174.96 = 1,204/x
  3. Step 3: Cross multiply
    2,117.92x = 3,174.96 × 1,204
  4. Step 4: Simplify right side
    2,117.92x = 3,822,651.84
  5. Step 5: Solve for x
    x = 3,822,651.84/2,117.92
  6. Step 6: Final answer
    x = 1,804.91

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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.