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Finding the Fourth Proportional to 7,996.36, 12,000.78 and 5,548.42

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Solution

The fourth proportional to 7,996.36, 12,000.78 and 5,548.42 is: 8,326.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,996.36 : 12,000.78 = 5,548.42 : x
  2. Step 2: Convert to fraction form
    7,996.36/12,000.78 = 5,548.42/x
  3. Step 3: Cross multiply
    7,996.36x = 12,000.78 × 5,548.42
  4. Step 4: Simplify right side
    7,996.36x = 66,585,367.77
  5. Step 5: Solve for x
    x = 66,585,367.77/7,996.36
  6. Step 6: Final answer
    x = 8,326.96

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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.