Home / 5,719-8,578.48-1,823.72

Finding the Fourth Proportional to 5,719, 8,578.48 and 1,823.72

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Solution

The fourth proportional to 5,719, 8,578.48 and 1,823.72 is: 2,735.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719 : 8,578.48 = 1,823.72 : x
  2. Step 2: Convert to fraction form
    5,719/8,578.48 = 1,823.72/x
  3. Step 3: Cross multiply
    5,719x = 8,578.48 × 1,823.72
  4. Step 4: Simplify right side
    5,719x = 15,644,745.55
  5. Step 5: Solve for x
    x = 15,644,745.55/5,719
  6. Step 6: Final answer
    x = 2,735.57

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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.