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Finding the Fourth Proportional to 7,185.05, 9,912.11 and 5,192.45

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Solution

The fourth proportional to 7,185.05, 9,912.11 and 5,192.45 is: 7,163.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.05 : 9,912.11 = 5,192.45 : x
  2. Step 2: Convert to fraction form
    7,185.05/9,912.11 = 5,192.45/x
  3. Step 3: Cross multiply
    7,185.05x = 9,912.11 × 5,192.45
  4. Step 4: Simplify right side
    7,185.05x = 51,468,173.33
  5. Step 5: Solve for x
    x = 51,468,173.33/7,185.05
  6. Step 6: Final answer
    x = 7,163.23

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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.