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Finding the Fourth Proportional to 2,126.72, 3,190.62 and 828.56

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Solution

The fourth proportional to 2,126.72, 3,190.62 and 828.56 is: 1,243.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.72 : 3,190.62 = 828.56 : x
  2. Step 2: Convert to fraction form
    2,126.72/3,190.62 = 828.56/x
  3. Step 3: Cross multiply
    2,126.72x = 3,190.62 × 828.56
  4. Step 4: Simplify right side
    2,126.72x = 2,643,620.11
  5. Step 5: Solve for x
    x = 2,643,620.11/2,126.72
  6. Step 6: Final answer
    x = 1,243.05

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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.