Home / 5,831-8,744.44-1,882.10

Finding the Fourth Proportional to 5,831, 8,744.44 and 1,882.10

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Solution

The fourth proportional to 5,831, 8,744.44 and 1,882.10 is: 2,822.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831 : 8,744.44 = 1,882.10 : x
  2. Step 2: Convert to fraction form
    5,831/8,744.44 = 1,882.10/x
  3. Step 3: Cross multiply
    5,831x = 8,744.44 × 1,882.10
  4. Step 4: Simplify right side
    5,831x = 16,457,910.52
  5. Step 5: Solve for x
    x = 16,457,910.52/5,831
  6. Step 6: Final answer
    x = 2,822.49

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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.