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Finding the Fourth Proportional to 12,183.46, 18,275.16 and 2,949.46

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Solution

The fourth proportional to 12,183.46, 18,275.16 and 2,949.46 is: 4,424.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.46 : 18,275.16 = 2,949.46 : x
  2. Step 2: Convert to fraction form
    12,183.46/18,275.16 = 2,949.46/x
  3. Step 3: Cross multiply
    12,183.46x = 18,275.16 × 2,949.46
  4. Step 4: Simplify right side
    12,183.46x = 53,901,853.41
  5. Step 5: Solve for x
    x = 53,901,853.41/12,183.46
  6. Step 6: Final answer
    x = 4,424.18

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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.