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Finding the Fourth Proportional to 2,855.43, 3,940.77 and 1,676.47

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Solution

The fourth proportional to 2,855.43, 3,940.77 and 1,676.47 is: 2,313.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.43 : 3,940.77 = 1,676.47 : x
  2. Step 2: Convert to fraction form
    2,855.43/3,940.77 = 1,676.47/x
  3. Step 3: Cross multiply
    2,855.43x = 3,940.77 × 1,676.47
  4. Step 4: Simplify right side
    2,855.43x = 6,606,582.68
  5. Step 5: Solve for x
    x = 6,606,582.68/2,855.43
  6. Step 6: Final answer
    x = 2,313.69

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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.