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Finding the Fourth Proportional to 3,859.76, 5,788.02 and 1,226.54

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Solution

The fourth proportional to 3,859.76, 5,788.02 and 1,226.54 is: 1,839.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.76 : 5,788.02 = 1,226.54 : x
  2. Step 2: Convert to fraction form
    3,859.76/5,788.02 = 1,226.54/x
  3. Step 3: Cross multiply
    3,859.76x = 5,788.02 × 1,226.54
  4. Step 4: Simplify right side
    3,859.76x = 7,099,238.05
  5. Step 5: Solve for x
    x = 7,099,238.05/3,859.76
  6. Step 6: Final answer
    x = 1,839.30

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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.