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Finding the Fourth Proportional to 12,722, 17,556.36 and 7,133

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Solution

The fourth proportional to 12,722, 17,556.36 and 7,133 is: 9,843.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722 : 17,556.36 = 7,133 : x
  2. Step 2: Convert to fraction form
    12,722/17,556.36 = 7,133/x
  3. Step 3: Cross multiply
    12,722x = 17,556.36 × 7,133
  4. Step 4: Simplify right side
    12,722x = 125,229,515.88
  5. Step 5: Solve for x
    x = 125,229,515.88/12,722
  6. Step 6: Final answer
    x = 9,843.54

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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.