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Finding the Fourth Proportional to 2,855.96, 3,940.05 and 1,736.72

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Solution

The fourth proportional to 2,855.96, 3,940.05 and 1,736.72 is: 2,395.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.96 : 3,940.05 = 1,736.72 : x
  2. Step 2: Convert to fraction form
    2,855.96/3,940.05 = 1,736.72/x
  3. Step 3: Cross multiply
    2,855.96x = 3,940.05 × 1,736.72
  4. Step 4: Simplify right side
    2,855.96x = 6,842,743.94
  5. Step 5: Solve for x
    x = 6,842,743.94/2,855.96
  6. Step 6: Final answer
    x = 2,395.96

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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.