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Finding the Fourth Proportional to 8,471.38, 12,706.94 and 2,627.99

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Solution

The fourth proportional to 8,471.38, 12,706.94 and 2,627.99 is: 3,941.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.38 : 12,706.94 = 2,627.99 : x
  2. Step 2: Convert to fraction form
    8,471.38/12,706.94 = 2,627.99/x
  3. Step 3: Cross multiply
    8,471.38x = 12,706.94 × 2,627.99
  4. Step 4: Simplify right side
    8,471.38x = 33,393,634.58
  5. Step 5: Solve for x
    x = 33,393,634.58/8,471.38
  6. Step 6: Final answer
    x = 3,941.94

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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.