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Finding the Fourth Proportional to 12,148.74, 18,194.75 and 9,353.22

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Solution

The fourth proportional to 12,148.74, 18,194.75 and 9,353.22 is: 14,007.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.74 : 18,194.75 = 9,353.22 : x
  2. Step 2: Convert to fraction form
    12,148.74/18,194.75 = 9,353.22/x
  3. Step 3: Cross multiply
    12,148.74x = 18,194.75 × 9,353.22
  4. Step 4: Simplify right side
    12,148.74x = 170,179,452.83
  5. Step 5: Solve for x
    x = 170,179,452.83/12,148.74
  6. Step 6: Final answer
    x = 14,007.99

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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.