Home / 2,138.02-3,205.83-1,471.70

Finding the Fourth Proportional to 2,138.02, 3,205.83 and 1,471.70

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Solution

The fourth proportional to 2,138.02, 3,205.83 and 1,471.70 is: 2,206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.02 : 3,205.83 = 1,471.70 : x
  2. Step 2: Convert to fraction form
    2,138.02/3,205.83 = 1,471.70/x
  3. Step 3: Cross multiply
    2,138.02x = 3,205.83 × 1,471.70
  4. Step 4: Simplify right side
    2,138.02x = 4,718,033.54
  5. Step 5: Solve for x
    x = 4,718,033.54/2,138.02
  6. Step 6: Final answer
    x = 2,206.73

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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.