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Finding the Fourth Proportional to 3,422.56, 4,723.74 and 3,266.74

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Solution

The fourth proportional to 3,422.56, 4,723.74 and 3,266.74 is: 4,508.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.56 : 4,723.74 = 3,266.74 : x
  2. Step 2: Convert to fraction form
    3,422.56/4,723.74 = 3,266.74/x
  3. Step 3: Cross multiply
    3,422.56x = 4,723.74 × 3,266.74
  4. Step 4: Simplify right side
    3,422.56x = 15,431,230.41
  5. Step 5: Solve for x
    x = 15,431,230.41/3,422.56
  6. Step 6: Final answer
    x = 4,508.68

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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.