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Finding the Fourth Proportional to 2,768.38, 4,153.38 and 820.64

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Solution

The fourth proportional to 2,768.38, 4,153.38 and 820.64 is: 1,231.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.38 : 4,153.38 = 820.64 : x
  2. Step 2: Convert to fraction form
    2,768.38/4,153.38 = 820.64/x
  3. Step 3: Cross multiply
    2,768.38x = 4,153.38 × 820.64
  4. Step 4: Simplify right side
    2,768.38x = 3,408,429.76
  5. Step 5: Solve for x
    x = 3,408,429.76/2,768.38
  6. Step 6: Final answer
    x = 1,231.20

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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.