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Finding the Fourth Proportional to 13,152.63, 18,149.96 and 7,183.16

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Solution

The fourth proportional to 13,152.63, 18,149.96 and 7,183.16 is: 9,912.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,152.63 : 18,149.96 = 7,183.16 : x
  2. Step 2: Convert to fraction form
    13,152.63/18,149.96 = 7,183.16/x
  3. Step 3: Cross multiply
    13,152.63x = 18,149.96 × 7,183.16
  4. Step 4: Simplify right side
    13,152.63x = 130,373,940.01
  5. Step 5: Solve for x
    x = 130,373,940.01/13,152.63
  6. Step 6: Final answer
    x = 9,912.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.