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Finding the Fourth Proportional to 4,749.60, 7,124.40 and 3,194.40

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Solution

The fourth proportional to 4,749.60, 7,124.40 and 3,194.40 is: 4,791.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.60 : 7,124.40 = 3,194.40 : x
  2. Step 2: Convert to fraction form
    4,749.60/7,124.40 = 3,194.40/x
  3. Step 3: Cross multiply
    4,749.60x = 7,124.40 × 3,194.40
  4. Step 4: Simplify right side
    4,749.60x = 22,758,183.36
  5. Step 5: Solve for x
    x = 22,758,183.36/4,749.60
  6. Step 6: Final answer
    x = 4,791.60

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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.