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Finding the Fourth Proportional to 3,585.56, 5,380.41 and 1,505.40

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Solution

The fourth proportional to 3,585.56, 5,380.41 and 1,505.40 is: 2,258.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.56 : 5,380.41 = 1,505.40 : x
  2. Step 2: Convert to fraction form
    3,585.56/5,380.41 = 1,505.40/x
  3. Step 3: Cross multiply
    3,585.56x = 5,380.41 × 1,505.40
  4. Step 4: Simplify right side
    3,585.56x = 8,099,654.68
  5. Step 5: Solve for x
    x = 8,099,654.68/3,585.56
  6. Step 6: Final answer
    x = 2,258.97

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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.