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Finding the Fourth Proportional to 7,786.75, 10,745.73 and 4,992.25

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Solution

The fourth proportional to 7,786.75, 10,745.73 and 4,992.25 is: 6,889.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.75 : 10,745.73 = 4,992.25 : x
  2. Step 2: Convert to fraction form
    7,786.75/10,745.73 = 4,992.25/x
  3. Step 3: Cross multiply
    7,786.75x = 10,745.73 × 4,992.25
  4. Step 4: Simplify right side
    7,786.75x = 53,645,345.63
  5. Step 5: Solve for x
    x = 53,645,345.63/7,786.75
  6. Step 6: Final answer
    x = 6,889.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.