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Finding the Fourth Proportional to 6,480.26, 8,942.56 and 3,647.78

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Solution

The fourth proportional to 6,480.26, 8,942.56 and 3,647.78 is: 5,033.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.26 : 8,942.56 = 3,647.78 : x
  2. Step 2: Convert to fraction form
    6,480.26/8,942.56 = 3,647.78/x
  3. Step 3: Cross multiply
    6,480.26x = 8,942.56 × 3,647.78
  4. Step 4: Simplify right side
    6,480.26x = 32,620,491.52
  5. Step 5: Solve for x
    x = 32,620,491.52/6,480.26
  6. Step 6: Final answer
    x = 5,033.82

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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.