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Finding the Fourth Proportional to 2,661.93, 3,990.74 and 1,633.77

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Solution

The fourth proportional to 2,661.93, 3,990.74 and 1,633.77 is: 2,449.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.93 : 3,990.74 = 1,633.77 : x
  2. Step 2: Convert to fraction form
    2,661.93/3,990.74 = 1,633.77/x
  3. Step 3: Cross multiply
    2,661.93x = 3,990.74 × 1,633.77
  4. Step 4: Simplify right side
    2,661.93x = 6,519,943.12
  5. Step 5: Solve for x
    x = 6,519,943.12/2,661.93
  6. Step 6: Final answer
    x = 2,449.33

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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.