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Finding the Fourth Proportional to 8,312.44, 11,469.49 and 5,288.77

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Solution

The fourth proportional to 8,312.44, 11,469.49 and 5,288.77 is: 7,297.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.44 : 11,469.49 = 5,288.77 : x
  2. Step 2: Convert to fraction form
    8,312.44/11,469.49 = 5,288.77/x
  3. Step 3: Cross multiply
    8,312.44x = 11,469.49 × 5,288.77
  4. Step 4: Simplify right side
    8,312.44x = 60,659,410.84
  5. Step 5: Solve for x
    x = 60,659,410.84/8,312.44
  6. Step 6: Final answer
    x = 7,297.43

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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.