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Finding the Fourth Proportional to 7,776.27, 11,604.69 and 6,945.81

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Solution

The fourth proportional to 7,776.27, 11,604.69 and 6,945.81 is: 10,365.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.27 : 11,604.69 = 6,945.81 : x
  2. Step 2: Convert to fraction form
    7,776.27/11,604.69 = 6,945.81/x
  3. Step 3: Cross multiply
    7,776.27x = 11,604.69 × 6,945.81
  4. Step 4: Simplify right side
    7,776.27x = 80,603,971.85
  5. Step 5: Solve for x
    x = 80,603,971.85/7,776.27
  6. Step 6: Final answer
    x = 10,365.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.