Home / 20,975.78-31,469.14-7,828.26

Finding the Fourth Proportional to 20,975.78, 31,469.14 and 7,828.26

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Solution

The fourth proportional to 20,975.78, 31,469.14 and 7,828.26 is: 11,744.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,975.78 : 31,469.14 = 7,828.26 : x
  2. Step 2: Convert to fraction form
    20,975.78/31,469.14 = 7,828.26/x
  3. Step 3: Cross multiply
    20,975.78x = 31,469.14 × 7,828.26
  4. Step 4: Simplify right side
    20,975.78x = 246,348,609.90
  5. Step 5: Solve for x
    x = 246,348,609.90/20,975.78
  6. Step 6: Final answer
    x = 11,744.43

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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.