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Finding the Fourth Proportional to 7,745.25, 11,615.25 and 4,186.68

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Solution

The fourth proportional to 7,745.25, 11,615.25 and 4,186.68 is: 6,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.25 : 11,615.25 = 4,186.68 : x
  2. Step 2: Convert to fraction form
    7,745.25/11,615.25 = 4,186.68/x
  3. Step 3: Cross multiply
    7,745.25x = 11,615.25 × 4,186.68
  4. Step 4: Simplify right side
    7,745.25x = 48,629,334.87
  5. Step 5: Solve for x
    x = 48,629,334.87/7,745.25
  6. Step 6: Final answer
    x = 6,278.60

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1.5x scale

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.