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Finding the Fourth Proportional to 3,186.92, 4,783.41 and 1,956.74

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Solution

The fourth proportional to 3,186.92, 4,783.41 and 1,956.74 is: 2,936.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.92 : 4,783.41 = 1,956.74 : x
  2. Step 2: Convert to fraction form
    3,186.92/4,783.41 = 1,956.74/x
  3. Step 3: Cross multiply
    3,186.92x = 4,783.41 × 1,956.74
  4. Step 4: Simplify right side
    3,186.92x = 9,359,865.77
  5. Step 5: Solve for x
    x = 9,359,865.77/3,186.92
  6. Step 6: Final answer
    x = 2,936.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.