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Finding the Fourth Proportional to 5,435.54, 8,144.01 and 2,972.12

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Solution

The fourth proportional to 5,435.54, 8,144.01 and 2,972.12 is: 4,453.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435.54 : 8,144.01 = 2,972.12 : x
  2. Step 2: Convert to fraction form
    5,435.54/8,144.01 = 2,972.12/x
  3. Step 3: Cross multiply
    5,435.54x = 8,144.01 × 2,972.12
  4. Step 4: Simplify right side
    5,435.54x = 24,204,975.00
  5. Step 5: Solve for x
    x = 24,204,975.00/5,435.54
  6. Step 6: Final answer
    x = 4,453.09

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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.