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Finding the Fourth Proportional to 5,144.85, 7,745.28 and 3,511.65

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Solution

The fourth proportional to 5,144.85, 7,745.28 and 3,511.65 is: 5,286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.85 : 7,745.28 = 3,511.65 : x
  2. Step 2: Convert to fraction form
    5,144.85/7,745.28 = 3,511.65/x
  3. Step 3: Cross multiply
    5,144.85x = 7,745.28 × 3,511.65
  4. Step 4: Simplify right side
    5,144.85x = 27,198,712.51
  5. Step 5: Solve for x
    x = 27,198,712.51/5,144.85
  6. Step 6: Final answer
    x = 5,286.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.