Home / 1,949.89-2,924.67-489.04

Finding the Fourth Proportional to 1,949.89, 2,924.67 and 489.04

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Solution

The fourth proportional to 1,949.89, 2,924.67 and 489.04 is: 733.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.89 : 2,924.67 = 489.04 : x
  2. Step 2: Convert to fraction form
    1,949.89/2,924.67 = 489.04/x
  3. Step 3: Cross multiply
    1,949.89x = 2,924.67 × 489.04
  4. Step 4: Simplify right side
    1,949.89x = 1,430,280.62
  5. Step 5: Solve for x
    x = 1,430,280.62/1,949.89
  6. Step 6: Final answer
    x = 733.52

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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.