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Finding the Fourth Proportional to 2,028.78, 3,043.24 and 642.20

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Solution

The fourth proportional to 2,028.78, 3,043.24 and 642.20 is: 963.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.78 : 3,043.24 = 642.20 : x
  2. Step 2: Convert to fraction form
    2,028.78/3,043.24 = 642.20/x
  3. Step 3: Cross multiply
    2,028.78x = 3,043.24 × 642.20
  4. Step 4: Simplify right side
    2,028.78x = 1,954,351.91
  5. Step 5: Solve for x
    x = 1,954,351.91/2,028.78
  6. Step 6: Final answer
    x = 963.31

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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.