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Finding the Fourth Proportional to 2,863.22, 3,949.09 and 1,920.07

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Solution

The fourth proportional to 2,863.22, 3,949.09 and 1,920.07 is: 2,648.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.22 : 3,949.09 = 1,920.07 : x
  2. Step 2: Convert to fraction form
    2,863.22/3,949.09 = 1,920.07/x
  3. Step 3: Cross multiply
    2,863.22x = 3,949.09 × 1,920.07
  4. Step 4: Simplify right side
    2,863.22x = 7,582,529.37
  5. Step 5: Solve for x
    x = 7,582,529.37/2,863.22
  6. Step 6: Final answer
    x = 2,648.26

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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.