Home / 13,986-20,982.24-10,083.42

Finding the Fourth Proportional to 13,986, 20,982.24 and 10,083.42

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Solution

The fourth proportional to 13,986, 20,982.24 and 10,083.42 is: 15,127.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986 : 20,982.24 = 10,083.42 : x
  2. Step 2: Convert to fraction form
    13,986/20,982.24 = 10,083.42/x
  3. Step 3: Cross multiply
    13,986x = 20,982.24 × 10,083.42
  4. Step 4: Simplify right side
    13,986x = 211,572,738.46
  5. Step 5: Solve for x
    x = 211,572,738.46/13,986
  6. Step 6: Final answer
    x = 15,127.47

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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.