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Finding the Fourth Proportional to 7,182.75, 9,910.73 and 4,198.01

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Solution

The fourth proportional to 7,182.75, 9,910.73 and 4,198.01 is: 5,792.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.75 : 9,910.73 = 4,198.01 : x
  2. Step 2: Convert to fraction form
    7,182.75/9,910.73 = 4,198.01/x
  3. Step 3: Cross multiply
    7,182.75x = 9,910.73 × 4,198.01
  4. Step 4: Simplify right side
    7,182.75x = 41,605,343.65
  5. Step 5: Solve for x
    x = 41,605,343.65/7,182.75
  6. Step 6: Final answer
    x = 5,792.40

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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.