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Finding the Fourth Proportional to 2,889.92, 3,989.56 and 2,004.18

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Solution

The fourth proportional to 2,889.92, 3,989.56 and 2,004.18 is: 2,766.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.92 : 3,989.56 = 2,004.18 : x
  2. Step 2: Convert to fraction form
    2,889.92/3,989.56 = 2,004.18/x
  3. Step 3: Cross multiply
    2,889.92x = 3,989.56 × 2,004.18
  4. Step 4: Simplify right side
    2,889.92x = 7,995,791.35
  5. Step 5: Solve for x
    x = 7,995,791.35/2,889.92
  6. Step 6: Final answer
    x = 2,766.79

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1.5x scale

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.