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Finding the Fourth Proportional to 2,104.64, 3,155.04 and 1,192

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Solution

The fourth proportional to 2,104.64, 3,155.04 and 1,192 is: 1,786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.64 : 3,155.04 = 1,192 : x
  2. Step 2: Convert to fraction form
    2,104.64/3,155.04 = 1,192/x
  3. Step 3: Cross multiply
    2,104.64x = 3,155.04 × 1,192
  4. Step 4: Simplify right side
    2,104.64x = 3,760,807.68
  5. Step 5: Solve for x
    x = 3,760,807.68/2,104.64
  6. Step 6: Final answer
    x = 1,786.91

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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.