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Finding the Fourth Proportional to 7,847.37, 11,772.72 and 3,900.78

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Solution

The fourth proportional to 7,847.37, 11,772.72 and 3,900.78 is: 5,852.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.37 : 11,772.72 = 3,900.78 : x
  2. Step 2: Convert to fraction form
    7,847.37/11,772.72 = 3,900.78/x
  3. Step 3: Cross multiply
    7,847.37x = 11,772.72 × 3,900.78
  4. Step 4: Simplify right side
    7,847.37x = 45,922,790.72
  5. Step 5: Solve for x
    x = 45,922,790.72/7,847.37
  6. Step 6: Final answer
    x = 5,852.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.