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Finding the Fourth Proportional to 8,280.78, 12,361.50 and 7,098

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Solution

The fourth proportional to 8,280.78, 12,361.50 and 7,098 is: 10,595.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,280.78 : 12,361.50 = 7,098 : x
  2. Step 2: Convert to fraction form
    8,280.78/12,361.50 = 7,098/x
  3. Step 3: Cross multiply
    8,280.78x = 12,361.50 × 7,098
  4. Step 4: Simplify right side
    8,280.78x = 87,741,927
  5. Step 5: Solve for x
    x = 87,741,927/8,280.78
  6. Step 6: Final answer
    x = 10,595.85

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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.