Home / 2,674.14-4,011.81-942.90

Finding the Fourth Proportional to 2,674.14, 4,011.81 and 942.90

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Solution

The fourth proportional to 2,674.14, 4,011.81 and 942.90 is: 1,414.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.14 : 4,011.81 = 942.90 : x
  2. Step 2: Convert to fraction form
    2,674.14/4,011.81 = 942.90/x
  3. Step 3: Cross multiply
    2,674.14x = 4,011.81 × 942.90
  4. Step 4: Simplify right side
    2,674.14x = 3,782,735.65
  5. Step 5: Solve for x
    x = 3,782,735.65/2,674.14
  6. Step 6: Final answer
    x = 1,414.56

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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.