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Finding the Fourth Proportional to 2,284.21, 3,426.84 and 724.21

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Solution

The fourth proportional to 2,284.21, 3,426.84 and 724.21 is: 1,086.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.21 : 3,426.84 = 724.21 : x
  2. Step 2: Convert to fraction form
    2,284.21/3,426.84 = 724.21/x
  3. Step 3: Cross multiply
    2,284.21x = 3,426.84 × 724.21
  4. Step 4: Simplify right side
    2,284.21x = 2,481,751.80
  5. Step 5: Solve for x
    x = 2,481,751.80/2,284.21
  6. Step 6: Final answer
    x = 1,086.48

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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.