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Finding the Fourth Proportional to 11,883.63, 16,399.53 and 6,578.76

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Solution

The fourth proportional to 11,883.63, 16,399.53 and 6,578.76 is: 9,078.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.63 : 16,399.53 = 6,578.76 : x
  2. Step 2: Convert to fraction form
    11,883.63/16,399.53 = 6,578.76/x
  3. Step 3: Cross multiply
    11,883.63x = 16,399.53 × 6,578.76
  4. Step 4: Simplify right side
    11,883.63x = 107,888,571.98
  5. Step 5: Solve for x
    x = 107,888,571.98/11,883.63
  6. Step 6: Final answer
    x = 9,078.76

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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.