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Finding the Fourth Proportional to 2,533.77, 3,797.42 and 2,187.09

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Solution

The fourth proportional to 2,533.77, 3,797.42 and 2,187.09 is: 3,277.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.77 : 3,797.42 = 2,187.09 : x
  2. Step 2: Convert to fraction form
    2,533.77/3,797.42 = 2,187.09/x
  3. Step 3: Cross multiply
    2,533.77x = 3,797.42 × 2,187.09
  4. Step 4: Simplify right side
    2,533.77x = 8,305,288.37
  5. Step 5: Solve for x
    x = 8,305,288.37/2,533.77
  6. Step 6: Final answer
    x = 3,277.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.