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Finding the Fourth Proportional to 2,138.22, 3,206.70 and 676.88

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Solution

The fourth proportional to 2,138.22, 3,206.70 and 676.88 is: 1,015.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.22 : 3,206.70 = 676.88 : x
  2. Step 2: Convert to fraction form
    2,138.22/3,206.70 = 676.88/x
  3. Step 3: Cross multiply
    2,138.22x = 3,206.70 × 676.88
  4. Step 4: Simplify right side
    2,138.22x = 2,170,551.10
  5. Step 5: Solve for x
    x = 2,170,551.10/2,138.22
  6. Step 6: Final answer
    x = 1,015.12

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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.