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Finding the Fourth Proportional to 5,741.92, 7,917.60 and 4,170.88

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Solution

The fourth proportional to 5,741.92, 7,917.60 and 4,170.88 is: 5,751.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.92 : 7,917.60 = 4,170.88 : x
  2. Step 2: Convert to fraction form
    5,741.92/7,917.60 = 4,170.88/x
  3. Step 3: Cross multiply
    5,741.92x = 7,917.60 × 4,170.88
  4. Step 4: Simplify right side
    5,741.92x = 33,023,359.49
  5. Step 5: Solve for x
    x = 33,023,359.49/5,741.92
  6. Step 6: Final answer
    x = 5,751.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.