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Finding the Fourth Proportional to 3,873.43, 5,810.37 and 1,408.51

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Solution

The fourth proportional to 3,873.43, 5,810.37 and 1,408.51 is: 2,112.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.43 : 5,810.37 = 1,408.51 : x
  2. Step 2: Convert to fraction form
    3,873.43/5,810.37 = 1,408.51/x
  3. Step 3: Cross multiply
    3,873.43x = 5,810.37 × 1,408.51
  4. Step 4: Simplify right side
    3,873.43x = 8,183,964.25
  5. Step 5: Solve for x
    x = 8,183,964.25/3,873.43
  6. Step 6: Final answer
    x = 2,112.85

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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.