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Finding the Fourth Proportional to 7,662.24, 10,575.12 and 7,161.98

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Solution

The fourth proportional to 7,662.24, 10,575.12 and 7,161.98 is: 9,884.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.24 : 10,575.12 = 7,161.98 : x
  2. Step 2: Convert to fraction form
    7,662.24/10,575.12 = 7,161.98/x
  3. Step 3: Cross multiply
    7,662.24x = 10,575.12 × 7,161.98
  4. Step 4: Simplify right side
    7,662.24x = 75,738,745.06
  5. Step 5: Solve for x
    x = 75,738,745.06/7,662.24
  6. Step 6: Final answer
    x = 9,884.67

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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.