Home / 2,049.24-3,074.40-1,322.40

Finding the Fourth Proportional to 2,049.24, 3,074.40 and 1,322.40

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Solution

The fourth proportional to 2,049.24, 3,074.40 and 1,322.40 is: 1,983.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.24 : 3,074.40 = 1,322.40 : x
  2. Step 2: Convert to fraction form
    2,049.24/3,074.40 = 1,322.40/x
  3. Step 3: Cross multiply
    2,049.24x = 3,074.40 × 1,322.40
  4. Step 4: Simplify right side
    2,049.24x = 4,065,586.56
  5. Step 5: Solve for x
    x = 4,065,586.56/2,049.24
  6. Step 6: Final answer
    x = 1,983.95

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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.