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Finding the Fourth Proportional to 1,975.43, 2,963.14 and 1,855.14

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Solution

The fourth proportional to 1,975.43, 2,963.14 and 1,855.14 is: 2,782.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.43 : 2,963.14 = 1,855.14 : x
  2. Step 2: Convert to fraction form
    1,975.43/2,963.14 = 1,855.14/x
  3. Step 3: Cross multiply
    1,975.43x = 2,963.14 × 1,855.14
  4. Step 4: Simplify right side
    1,975.43x = 5,497,039.54
  5. Step 5: Solve for x
    x = 5,497,039.54/1,975.43
  6. Step 6: Final answer
    x = 2,782.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.