Home / 1,949.43-2,923.05-650.19

Finding the Fourth Proportional to 1,949.43, 2,923.05 and 650.19

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Solution

The fourth proportional to 1,949.43, 2,923.05 and 650.19 is: 974.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.43 : 2,923.05 = 650.19 : x
  2. Step 2: Convert to fraction form
    1,949.43/2,923.05 = 650.19/x
  3. Step 3: Cross multiply
    1,949.43x = 2,923.05 × 650.19
  4. Step 4: Simplify right side
    1,949.43x = 1,900,537.88
  5. Step 5: Solve for x
    x = 1,900,537.88/1,949.43
  6. Step 6: Final answer
    x = 974.92

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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.