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Finding the Fourth Proportional to 1,789.77, 2,464.77 and 1,611.21

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Solution

The fourth proportional to 1,789.77, 2,464.77 and 1,611.21 is: 2,218.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.77 : 2,464.77 = 1,611.21 : x
  2. Step 2: Convert to fraction form
    1,789.77/2,464.77 = 1,611.21/x
  3. Step 3: Cross multiply
    1,789.77x = 2,464.77 × 1,611.21
  4. Step 4: Simplify right side
    1,789.77x = 3,971,262.07
  5. Step 5: Solve for x
    x = 3,971,262.07/1,789.77
  6. Step 6: Final answer
    x = 2,218.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.