Home / 2,114.24-3,171.33-943.97

Finding the Fourth Proportional to 2,114.24, 3,171.33 and 943.97

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Solution

The fourth proportional to 2,114.24, 3,171.33 and 943.97 is: 1,415.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.24 : 3,171.33 = 943.97 : x
  2. Step 2: Convert to fraction form
    2,114.24/3,171.33 = 943.97/x
  3. Step 3: Cross multiply
    2,114.24x = 3,171.33 × 943.97
  4. Step 4: Simplify right side
    2,114.24x = 2,993,624.52
  5. Step 5: Solve for x
    x = 2,993,624.52/2,114.24
  6. Step 6: Final answer
    x = 1,415.94

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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.