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Finding the Fourth Proportional to 12,049.96, 18,078.63 and 5,392.06

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Solution

The fourth proportional to 12,049.96, 18,078.63 and 5,392.06 is: 8,089.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.96 : 18,078.63 = 5,392.06 : x
  2. Step 2: Convert to fraction form
    12,049.96/18,078.63 = 5,392.06/x
  3. Step 3: Cross multiply
    12,049.96x = 18,078.63 × 5,392.06
  4. Step 4: Simplify right side
    12,049.96x = 97,481,121.05
  5. Step 5: Solve for x
    x = 97,481,121.05/12,049.96
  6. Step 6: Final answer
    x = 8,089.75

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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.