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Finding the Fourth Proportional to 13,249.64, 19,872.07 and 5,351.87

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Solution

The fourth proportional to 13,249.64, 19,872.07 and 5,351.87 is: 8,026.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,249.64 : 19,872.07 = 5,351.87 : x
  2. Step 2: Convert to fraction form
    13,249.64/19,872.07 = 5,351.87/x
  3. Step 3: Cross multiply
    13,249.64x = 19,872.07 × 5,351.87
  4. Step 4: Simplify right side
    13,249.64x = 106,352,771.57
  5. Step 5: Solve for x
    x = 106,352,771.57/13,249.64
  6. Step 6: Final answer
    x = 8,026.84

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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.