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Finding the Fourth Proportional to 2,274.70, 3,412.05 and 1,723.90

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Solution

The fourth proportional to 2,274.70, 3,412.05 and 1,723.90 is: 2,585.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.70 : 3,412.05 = 1,723.90 : x
  2. Step 2: Convert to fraction form
    2,274.70/3,412.05 = 1,723.90/x
  3. Step 3: Cross multiply
    2,274.70x = 3,412.05 × 1,723.90
  4. Step 4: Simplify right side
    2,274.70x = 5,882,033.00
  5. Step 5: Solve for x
    x = 5,882,033.00/2,274.70
  6. Step 6: Final answer
    x = 2,585.85

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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.