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Finding the Fourth Proportional to 12,105.14, 16,705.01 and 7,069.56

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Solution

The fourth proportional to 12,105.14, 16,705.01 and 7,069.56 is: 9,755.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.14 : 16,705.01 = 7,069.56 : x
  2. Step 2: Convert to fraction form
    12,105.14/16,705.01 = 7,069.56/x
  3. Step 3: Cross multiply
    12,105.14x = 16,705.01 × 7,069.56
  4. Step 4: Simplify right side
    12,105.14x = 118,097,035.15
  5. Step 5: Solve for x
    x = 118,097,035.15/12,105.14
  6. Step 6: Final answer
    x = 9,755.95

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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.