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Finding the Fourth Proportional to 11,713.30, 16,164.20 and 6,408.06

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Solution

The fourth proportional to 11,713.30, 16,164.20 and 6,408.06 is: 8,843.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.30 : 16,164.20 = 6,408.06 : x
  2. Step 2: Convert to fraction form
    11,713.30/16,164.20 = 6,408.06/x
  3. Step 3: Cross multiply
    11,713.30x = 16,164.20 × 6,408.06
  4. Step 4: Simplify right side
    11,713.30x = 103,581,163.45
  5. Step 5: Solve for x
    x = 103,581,163.45/11,713.30
  6. Step 6: Final answer
    x = 8,843.04

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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.