Home / 6,122-9,182.76-1,739.36

Finding the Fourth Proportional to 6,122, 9,182.76 and 1,739.36

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Solution

The fourth proportional to 6,122, 9,182.76 and 1,739.36 is: 2,608.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122 : 9,182.76 = 1,739.36 : x
  2. Step 2: Convert to fraction form
    6,122/9,182.76 = 1,739.36/x
  3. Step 3: Cross multiply
    6,122x = 9,182.76 × 1,739.36
  4. Step 4: Simplify right side
    6,122x = 15,972,125.43
  5. Step 5: Solve for x
    x = 15,972,125.43/6,122
  6. Step 6: Final answer
    x = 2,608.97

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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.