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Finding the Fourth Proportional to 2,449.87, 3,674.81 and 1,722.70

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Solution

The fourth proportional to 2,449.87, 3,674.81 and 1,722.70 is: 2,584.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.87 : 3,674.81 = 1,722.70 : x
  2. Step 2: Convert to fraction form
    2,449.87/3,674.81 = 1,722.70/x
  3. Step 3: Cross multiply
    2,449.87x = 3,674.81 × 1,722.70
  4. Step 4: Simplify right side
    2,449.87x = 6,330,595.19
  5. Step 5: Solve for x
    x = 6,330,595.19/2,449.87
  6. Step 6: Final answer
    x = 2,584.05

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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.