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Finding the Fourth Proportional to 7,984.88, 11,019.72 and 5,198.48

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Solution

The fourth proportional to 7,984.88, 11,019.72 and 5,198.48 is: 7,174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.88 : 11,019.72 = 5,198.48 : x
  2. Step 2: Convert to fraction form
    7,984.88/11,019.72 = 5,198.48/x
  3. Step 3: Cross multiply
    7,984.88x = 11,019.72 × 5,198.48
  4. Step 4: Simplify right side
    7,984.88x = 57,285,794.03
  5. Step 5: Solve for x
    x = 57,285,794.03/7,984.88
  6. Step 6: Final answer
    x = 7,174.28

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1.5x scale

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.