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Finding the Fourth Proportional to 4,228.83, 5,830.19 and 3,469.83

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Solution

The fourth proportional to 4,228.83, 5,830.19 and 3,469.83 is: 4,783.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,228.83 : 5,830.19 = 3,469.83 : x
  2. Step 2: Convert to fraction form
    4,228.83/5,830.19 = 3,469.83/x
  3. Step 3: Cross multiply
    4,228.83x = 5,830.19 × 3,469.83
  4. Step 4: Simplify right side
    4,228.83x = 20,229,776.84
  5. Step 5: Solve for x
    x = 20,229,776.84/4,228.83
  6. Step 6: Final answer
    x = 4,783.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.