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Finding the Fourth Proportional to 2,976.87, 4,107.92 and 1,650.48

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Solution

The fourth proportional to 2,976.87, 4,107.92 and 1,650.48 is: 2,277.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.87 : 4,107.92 = 1,650.48 : x
  2. Step 2: Convert to fraction form
    2,976.87/4,107.92 = 1,650.48/x
  3. Step 3: Cross multiply
    2,976.87x = 4,107.92 × 1,650.48
  4. Step 4: Simplify right side
    2,976.87x = 6,780,016.14
  5. Step 5: Solve for x
    x = 6,780,016.14/2,976.87
  6. Step 6: Final answer
    x = 2,277.57

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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.