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Finding the Fourth Proportional to 3,978.41, 5,497.25 and 2,863.04

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Solution

The fourth proportional to 3,978.41, 5,497.25 and 2,863.04 is: 3,956.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.41 : 5,497.25 = 2,863.04 : x
  2. Step 2: Convert to fraction form
    3,978.41/5,497.25 = 2,863.04/x
  3. Step 3: Cross multiply
    3,978.41x = 5,497.25 × 2,863.04
  4. Step 4: Simplify right side
    3,978.41x = 15,738,804.84
  5. Step 5: Solve for x
    x = 15,738,804.84/3,978.41
  6. Step 6: Final answer
    x = 3,956.06

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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.