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Finding the Fourth Proportional to 7,257.65, 10,015.47 and 6,662.54

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Solution

The fourth proportional to 7,257.65, 10,015.47 and 6,662.54 is: 9,194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.65 : 10,015.47 = 6,662.54 : x
  2. Step 2: Convert to fraction form
    7,257.65/10,015.47 = 6,662.54/x
  3. Step 3: Cross multiply
    7,257.65x = 10,015.47 × 6,662.54
  4. Step 4: Simplify right side
    7,257.65x = 66,728,469.49
  5. Step 5: Solve for x
    x = 66,728,469.49/7,257.65
  6. Step 6: Final answer
    x = 9,194.23

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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.