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Finding the Fourth Proportional to 2,028.88, 3,043.32 and 489.88

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Solution

The fourth proportional to 2,028.88, 3,043.32 and 489.88 is: 734.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.88 : 3,043.32 = 489.88 : x
  2. Step 2: Convert to fraction form
    2,028.88/3,043.32 = 489.88/x
  3. Step 3: Cross multiply
    2,028.88x = 3,043.32 × 489.88
  4. Step 4: Simplify right side
    2,028.88x = 1,490,843.94
  5. Step 5: Solve for x
    x = 1,490,843.94/2,028.88
  6. Step 6: Final answer
    x = 734.81

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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.