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Finding the Fourth Proportional to 3,828.89, 5,739.68 and 1,230

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Solution

The fourth proportional to 3,828.89, 5,739.68 and 1,230 is: 1,843.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.89 : 5,739.68 = 1,230 : x
  2. Step 2: Convert to fraction form
    3,828.89/5,739.68 = 1,230/x
  3. Step 3: Cross multiply
    3,828.89x = 5,739.68 × 1,230
  4. Step 4: Simplify right side
    3,828.89x = 7,059,800.25
  5. Step 5: Solve for x
    x = 7,059,800.25/3,828.89
  6. Step 6: Final answer
    x = 1,843.83

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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.