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Finding the Fourth Proportional to 2,155.44, 3,233.16 and 1,769.88

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Solution

The fourth proportional to 2,155.44, 3,233.16 and 1,769.88 is: 2,654.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.44 : 3,233.16 = 1,769.88 : x
  2. Step 2: Convert to fraction form
    2,155.44/3,233.16 = 1,769.88/x
  3. Step 3: Cross multiply
    2,155.44x = 3,233.16 × 1,769.88
  4. Step 4: Simplify right side
    2,155.44x = 5,722,305.22
  5. Step 5: Solve for x
    x = 5,722,305.22/2,155.44
  6. Step 6: Final answer
    x = 2,654.82

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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.