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Finding the Fourth Proportional to 7,091.72, 9,745.47 and 6,766.49

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Solution

The fourth proportional to 7,091.72, 9,745.47 and 6,766.49 is: 9,298.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.72 : 9,745.47 = 6,766.49 : x
  2. Step 2: Convert to fraction form
    7,091.72/9,745.47 = 6,766.49/x
  3. Step 3: Cross multiply
    7,091.72x = 9,745.47 × 6,766.49
  4. Step 4: Simplify right side
    7,091.72x = 65,942,591.47
  5. Step 5: Solve for x
    x = 65,942,591.47/7,091.72
  6. Step 6: Final answer
    x = 9,298.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.