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Finding the Fourth Proportional to 6,766.70, 9,337.87 and 3,782.56

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Solution

The fourth proportional to 6,766.70, 9,337.87 and 3,782.56 is: 5,219.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.70 : 9,337.87 = 3,782.56 : x
  2. Step 2: Convert to fraction form
    6,766.70/9,337.87 = 3,782.56/x
  3. Step 3: Cross multiply
    6,766.70x = 9,337.87 × 3,782.56
  4. Step 4: Simplify right side
    6,766.70x = 35,321,053.55
  5. Step 5: Solve for x
    x = 35,321,053.55/6,766.70
  6. Step 6: Final answer
    x = 5,219.83

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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.