Home / 5,110.98-7,668.09-1,824

Finding the Fourth Proportional to 5,110.98, 7,668.09 and 1,824

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Solution

The fourth proportional to 5,110.98, 7,668.09 and 1,824 is: 2,736.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,110.98 : 7,668.09 = 1,824 : x
  2. Step 2: Convert to fraction form
    5,110.98/7,668.09 = 1,824/x
  3. Step 3: Cross multiply
    5,110.98x = 7,668.09 × 1,824
  4. Step 4: Simplify right side
    5,110.98x = 13,986,596.16
  5. Step 5: Solve for x
    x = 13,986,596.16/5,110.98
  6. Step 6: Final answer
    x = 2,736.58

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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.