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Finding the Fourth Proportional to 2,855.41, 3,940.49 and 1,676.50

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Solution

The fourth proportional to 2,855.41, 3,940.49 and 1,676.50 is: 2,313.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.41 : 3,940.49 = 1,676.50 : x
  2. Step 2: Convert to fraction form
    2,855.41/3,940.49 = 1,676.50/x
  3. Step 3: Cross multiply
    2,855.41x = 3,940.49 × 1,676.50
  4. Step 4: Simplify right side
    2,855.41x = 6,606,225.83
  5. Step 5: Solve for x
    x = 6,606,225.83/2,855.41
  6. Step 6: Final answer
    x = 2,313.58

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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.