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Finding the Fourth Proportional to 8,076.84, 11,152.26 and 6,511.92

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Solution

The fourth proportional to 8,076.84, 11,152.26 and 6,511.92 is: 8,991.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076.84 : 11,152.26 = 6,511.92 : x
  2. Step 2: Convert to fraction form
    8,076.84/11,152.26 = 6,511.92/x
  3. Step 3: Cross multiply
    8,076.84x = 11,152.26 × 6,511.92
  4. Step 4: Simplify right side
    8,076.84x = 72,622,624.94
  5. Step 5: Solve for x
    x = 72,622,624.94/8,076.84
  6. Step 6: Final answer
    x = 8,991.47

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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.