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Finding the Fourth Proportional to 2,855.69, 3,940.75 and 1,660.51

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Solution

The fourth proportional to 2,855.69, 3,940.75 and 1,660.51 is: 2,291.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.69 : 3,940.75 = 1,660.51 : x
  2. Step 2: Convert to fraction form
    2,855.69/3,940.75 = 1,660.51/x
  3. Step 3: Cross multiply
    2,855.69x = 3,940.75 × 1,660.51
  4. Step 4: Simplify right side
    2,855.69x = 6,543,654.78
  5. Step 5: Solve for x
    x = 6,543,654.78/2,855.69
  6. Step 6: Final answer
    x = 2,291.44

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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.