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Finding the Fourth Proportional to 3,072.78, 4,608.45 and 1,428.30

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Solution

The fourth proportional to 3,072.78, 4,608.45 and 1,428.30 is: 2,142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.78 : 4,608.45 = 1,428.30 : x
  2. Step 2: Convert to fraction form
    3,072.78/4,608.45 = 1,428.30/x
  3. Step 3: Cross multiply
    3,072.78x = 4,608.45 × 1,428.30
  4. Step 4: Simplify right side
    3,072.78x = 6,582,249.14
  5. Step 5: Solve for x
    x = 6,582,249.14/3,072.78
  6. Step 6: Final answer
    x = 2,142.12

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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.