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Finding the Fourth Proportional to 6,138.76, 9,209.22 and 2,855.56

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Solution

The fourth proportional to 6,138.76, 9,209.22 and 2,855.56 is: 4,283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.76 : 9,209.22 = 2,855.56 : x
  2. Step 2: Convert to fraction form
    6,138.76/9,209.22 = 2,855.56/x
  3. Step 3: Cross multiply
    6,138.76x = 9,209.22 × 2,855.56
  4. Step 4: Simplify right side
    6,138.76x = 26,297,480.26
  5. Step 5: Solve for x
    x = 26,297,480.26/6,138.76
  6. Step 6: Final answer
    x = 4,283.84

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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.