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Finding the Fourth Proportional to 2,028.91, 3,043.90 and 642.27

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Solution

The fourth proportional to 2,028.91, 3,043.90 and 642.27 is: 963.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.91 : 3,043.90 = 642.27 : x
  2. Step 2: Convert to fraction form
    2,028.91/3,043.90 = 642.27/x
  3. Step 3: Cross multiply
    2,028.91x = 3,043.90 × 642.27
  4. Step 4: Simplify right side
    2,028.91x = 1,955,005.65
  5. Step 5: Solve for x
    x = 1,955,005.65/2,028.91
  6. Step 6: Final answer
    x = 963.57

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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.