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Finding the Fourth Proportional to 12,608.50, 17,399.06 and 6,942.16

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Solution

The fourth proportional to 12,608.50, 17,399.06 and 6,942.16 is: 9,579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,608.50 : 17,399.06 = 6,942.16 : x
  2. Step 2: Convert to fraction form
    12,608.50/17,399.06 = 6,942.16/x
  3. Step 3: Cross multiply
    12,608.50x = 17,399.06 × 6,942.16
  4. Step 4: Simplify right side
    12,608.50x = 120,787,058.37
  5. Step 5: Solve for x
    x = 120,787,058.37/12,608.50
  6. Step 6: Final answer
    x = 9,579.81

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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.