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Finding the Fourth Proportional to 2,481.77, 3,723.14 and 1,328.81

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Solution

The fourth proportional to 2,481.77, 3,723.14 and 1,328.81 is: 1,993.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.77 : 3,723.14 = 1,328.81 : x
  2. Step 2: Convert to fraction form
    2,481.77/3,723.14 = 1,328.81/x
  3. Step 3: Cross multiply
    2,481.77x = 3,723.14 × 1,328.81
  4. Step 4: Simplify right side
    2,481.77x = 4,947,339.02
  5. Step 5: Solve for x
    x = 4,947,339.02/2,481.77
  6. Step 6: Final answer
    x = 1,993.47

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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.