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Finding the Fourth Proportional to 2,976.64, 4,107.17 and 1,797.77

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Solution

The fourth proportional to 2,976.64, 4,107.17 and 1,797.77 is: 2,480.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.64 : 4,107.17 = 1,797.77 : x
  2. Step 2: Convert to fraction form
    2,976.64/4,107.17 = 1,797.77/x
  3. Step 3: Cross multiply
    2,976.64x = 4,107.17 × 1,797.77
  4. Step 4: Simplify right side
    2,976.64x = 7,383,738.02
  5. Step 5: Solve for x
    x = 7,383,738.02/2,976.64
  6. Step 6: Final answer
    x = 2,480.57

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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.