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Finding the Fourth Proportional to 11,142.44, 15,375.96 and 6,106.67

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Solution

The fourth proportional to 11,142.44, 15,375.96 and 6,106.67 is: 8,426.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142.44 : 15,375.96 = 6,106.67 : x
  2. Step 2: Convert to fraction form
    11,142.44/15,375.96 = 6,106.67/x
  3. Step 3: Cross multiply
    11,142.44x = 15,375.96 × 6,106.67
  4. Step 4: Simplify right side
    11,142.44x = 93,895,836.77
  5. Step 5: Solve for x
    x = 93,895,836.77/11,142.44
  6. Step 6: Final answer
    x = 8,426.87

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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.