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Finding the Fourth Proportional to 12,294.36, 18,442.59 and 5,274.68

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Solution

The fourth proportional to 12,294.36, 18,442.59 and 5,274.68 is: 7,912.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.36 : 18,442.59 = 5,274.68 : x
  2. Step 2: Convert to fraction form
    12,294.36/18,442.59 = 5,274.68/x
  3. Step 3: Cross multiply
    12,294.36x = 18,442.59 × 5,274.68
  4. Step 4: Simplify right side
    12,294.36x = 97,278,760.62
  5. Step 5: Solve for x
    x = 97,278,760.62/12,294.36
  6. Step 6: Final answer
    x = 7,912.47

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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.