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Finding the Fourth Proportional to 2,841.82, 3,920.21 and 1,956.09

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Solution

The fourth proportional to 2,841.82, 3,920.21 and 1,956.09 is: 2,698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.82 : 3,920.21 = 1,956.09 : x
  2. Step 2: Convert to fraction form
    2,841.82/3,920.21 = 1,956.09/x
  3. Step 3: Cross multiply
    2,841.82x = 3,920.21 × 1,956.09
  4. Step 4: Simplify right side
    2,841.82x = 7,668,283.58
  5. Step 5: Solve for x
    x = 7,668,283.58/2,841.82
  6. Step 6: Final answer
    x = 2,698.37

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1.5x scale

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.