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Finding the Fourth Proportional to 9,198, 12,694.68 and 5,474.16

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Solution

The fourth proportional to 9,198, 12,694.68 and 5,474.16 is: 7,555.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198 : 12,694.68 = 5,474.16 : x
  2. Step 2: Convert to fraction form
    9,198/12,694.68 = 5,474.16/x
  3. Step 3: Cross multiply
    9,198x = 12,694.68 × 5,474.16
  4. Step 4: Simplify right side
    9,198x = 69,492,709.47
  5. Step 5: Solve for x
    x = 69,492,709.47/9,198
  6. Step 6: Final answer
    x = 7,555.20

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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.