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Finding the Fourth Proportional to 3,821.22, 5,729.94 and 1,355.67

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Solution

The fourth proportional to 3,821.22, 5,729.94 and 1,355.67 is: 2,032.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.22 : 5,729.94 = 1,355.67 : x
  2. Step 2: Convert to fraction form
    3,821.22/5,729.94 = 1,355.67/x
  3. Step 3: Cross multiply
    3,821.22x = 5,729.94 × 1,355.67
  4. Step 4: Simplify right side
    3,821.22x = 7,767,907.76
  5. Step 5: Solve for x
    x = 7,767,907.76/3,821.22
  6. Step 6: Final answer
    x = 2,032.83

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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.