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Finding the Fourth Proportional to 1,956.97, 2,701.79 and 1,738.27

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Solution

The fourth proportional to 1,956.97, 2,701.79 and 1,738.27 is: 2,399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.97 : 2,701.79 = 1,738.27 : x
  2. Step 2: Convert to fraction form
    1,956.97/2,701.79 = 1,738.27/x
  3. Step 3: Cross multiply
    1,956.97x = 2,701.79 × 1,738.27
  4. Step 4: Simplify right side
    1,956.97x = 4,696,440.50
  5. Step 5: Solve for x
    x = 4,696,440.50/1,956.97
  6. Step 6: Final answer
    x = 2,399.85

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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.