Home / 7,727.26-11,590.42-3,777

Finding the Fourth Proportional to 7,727.26, 11,590.42 and 3,777

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Solution

The fourth proportional to 7,727.26, 11,590.42 and 3,777 is: 5,665.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.26 : 11,590.42 = 3,777 : x
  2. Step 2: Convert to fraction form
    7,727.26/11,590.42 = 3,777/x
  3. Step 3: Cross multiply
    7,727.26x = 11,590.42 × 3,777
  4. Step 4: Simplify right side
    7,727.26x = 43,777,016.34
  5. Step 5: Solve for x
    x = 43,777,016.34/7,727.26
  6. Step 6: Final answer
    x = 5,665.27

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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.