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Finding the Fourth Proportional to 2,028.93, 3,043.40 and 489.93

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Solution

The fourth proportional to 2,028.93, 3,043.40 and 489.93 is: 734.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.93 : 3,043.40 = 489.93 : x
  2. Step 2: Convert to fraction form
    2,028.93/3,043.40 = 489.93/x
  3. Step 3: Cross multiply
    2,028.93x = 3,043.40 × 489.93
  4. Step 4: Simplify right side
    2,028.93x = 1,491,060.57
  5. Step 5: Solve for x
    x = 1,491,060.57/2,028.93
  6. Step 6: Final answer
    x = 734.90

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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.