Home / 5,827-8,741.98-1,723

Finding the Fourth Proportional to 5,827, 8,741.98 and 1,723

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Solution

The fourth proportional to 5,827, 8,741.98 and 1,723 is: 2,584.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827 : 8,741.98 = 1,723 : x
  2. Step 2: Convert to fraction form
    5,827/8,741.98 = 1,723/x
  3. Step 3: Cross multiply
    5,827x = 8,741.98 × 1,723
  4. Step 4: Simplify right side
    5,827x = 15,062,431.54
  5. Step 5: Solve for x
    x = 15,062,431.54/5,827
  6. Step 6: Final answer
    x = 2,584.94

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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.