Home / 2,138.08-3,208.20-1,027.24

Finding the Fourth Proportional to 2,138.08, 3,208.20 and 1,027.24

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Solution

The fourth proportional to 2,138.08, 3,208.20 and 1,027.24 is: 1,541.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.08 : 3,208.20 = 1,027.24 : x
  2. Step 2: Convert to fraction form
    2,138.08/3,208.20 = 1,027.24/x
  3. Step 3: Cross multiply
    2,138.08x = 3,208.20 × 1,027.24
  4. Step 4: Simplify right side
    2,138.08x = 3,295,591.37
  5. Step 5: Solve for x
    x = 3,295,591.37/2,138.08
  6. Step 6: Final answer
    x = 1,541.38

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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.