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Finding the Fourth Proportional to 2,825.32, 3,894.86 and 1,983.41

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Solution

The fourth proportional to 2,825.32, 3,894.86 and 1,983.41 is: 2,734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.32 : 3,894.86 = 1,983.41 : x
  2. Step 2: Convert to fraction form
    2,825.32/3,894.86 = 1,983.41/x
  3. Step 3: Cross multiply
    2,825.32x = 3,894.86 × 1,983.41
  4. Step 4: Simplify right side
    2,825.32x = 7,725,104.27
  5. Step 5: Solve for x
    x = 7,725,104.27/2,825.32
  6. Step 6: Final answer
    x = 2,734.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.