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Finding the Fourth Proportional to 2,956.39, 4,078.41 and 1,949.15

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Solution

The fourth proportional to 2,956.39, 4,078.41 and 1,949.15 is: 2,688.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.39 : 4,078.41 = 1,949.15 : x
  2. Step 2: Convert to fraction form
    2,956.39/4,078.41 = 1,949.15/x
  3. Step 3: Cross multiply
    2,956.39x = 4,078.41 × 1,949.15
  4. Step 4: Simplify right side
    2,956.39x = 7,949,432.85
  5. Step 5: Solve for x
    x = 7,949,432.85/2,956.39
  6. Step 6: Final answer
    x = 2,688.90

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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.