Home / 2,138.13-3,205.37-838.69

Finding the Fourth Proportional to 2,138.13, 3,205.37 and 838.69

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Solution

The fourth proportional to 2,138.13, 3,205.37 and 838.69 is: 1,257.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.13 : 3,205.37 = 838.69 : x
  2. Step 2: Convert to fraction form
    2,138.13/3,205.37 = 838.69/x
  3. Step 3: Cross multiply
    2,138.13x = 3,205.37 × 838.69
  4. Step 4: Simplify right side
    2,138.13x = 2,688,305.85
  5. Step 5: Solve for x
    x = 2,688,305.85/2,138.13
  6. Step 6: Final answer
    x = 1,257.32

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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.