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Finding the Fourth Proportional to 9,198, 13,799.72 and 5,305.20

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Solution

The fourth proportional to 9,198, 13,799.72 and 5,305.20 is: 7,959.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198 : 13,799.72 = 5,305.20 : x
  2. Step 2: Convert to fraction form
    9,198/13,799.72 = 5,305.20/x
  3. Step 3: Cross multiply
    9,198x = 13,799.72 × 5,305.20
  4. Step 4: Simplify right side
    9,198x = 73,210,274.54
  5. Step 5: Solve for x
    x = 73,210,274.54/9,198
  6. Step 6: Final answer
    x = 7,959.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.