Home / 4,023.70-6,031.83-1,831

Finding the Fourth Proportional to 4,023.70, 6,031.83 and 1,831

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Solution

The fourth proportional to 4,023.70, 6,031.83 and 1,831 is: 2,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,023.70 : 6,031.83 = 1,831 : x
  2. Step 2: Convert to fraction form
    4,023.70/6,031.83 = 1,831/x
  3. Step 3: Cross multiply
    4,023.70x = 6,031.83 × 1,831
  4. Step 4: Simplify right side
    4,023.70x = 11,044,280.73
  5. Step 5: Solve for x
    x = 11,044,280.73/4,023.70
  6. Step 6: Final answer
    x = 2,744.81

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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.