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Finding the Fourth Proportional to 3,813.71, 5,722.97 and 1,622.43

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Solution

The fourth proportional to 3,813.71, 5,722.97 and 1,622.43 is: 2,434.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.71 : 5,722.97 = 1,622.43 : x
  2. Step 2: Convert to fraction form
    3,813.71/5,722.97 = 1,622.43/x
  3. Step 3: Cross multiply
    3,813.71x = 5,722.97 × 1,622.43
  4. Step 4: Simplify right side
    3,813.71x = 9,285,110.10
  5. Step 5: Solve for x
    x = 9,285,110.10/3,813.71
  6. Step 6: Final answer
    x = 2,434.67

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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.