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Finding the Fourth Proportional to 12,954.62, 19,399.11 and 8,009.26

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Solution

The fourth proportional to 12,954.62, 19,399.11 and 8,009.26 is: 11,993.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954.62 : 19,399.11 = 8,009.26 : x
  2. Step 2: Convert to fraction form
    12,954.62/19,399.11 = 8,009.26/x
  3. Step 3: Cross multiply
    12,954.62x = 19,399.11 × 8,009.26
  4. Step 4: Simplify right side
    12,954.62x = 155,372,515.76
  5. Step 5: Solve for x
    x = 155,372,515.76/12,954.62
  6. Step 6: Final answer
    x = 11,993.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.