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Finding the Fourth Proportional to 2,751.44, 4,126.78 and 902.64

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Solution

The fourth proportional to 2,751.44, 4,126.78 and 902.64 is: 1,353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.44 : 4,126.78 = 902.64 : x
  2. Step 2: Convert to fraction form
    2,751.44/4,126.78 = 902.64/x
  3. Step 3: Cross multiply
    2,751.44x = 4,126.78 × 902.64
  4. Step 4: Simplify right side
    2,751.44x = 3,724,996.70
  5. Step 5: Solve for x
    x = 3,724,996.70/2,751.44
  6. Step 6: Final answer
    x = 1,353.84

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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.