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Finding the Fourth Proportional to 2,138.36, 3,206.90 and 905.74

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Solution

The fourth proportional to 2,138.36, 3,206.90 and 905.74 is: 1,358.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.36 : 3,206.90 = 905.74 : x
  2. Step 2: Convert to fraction form
    2,138.36/3,206.90 = 905.74/x
  3. Step 3: Cross multiply
    2,138.36x = 3,206.90 × 905.74
  4. Step 4: Simplify right side
    2,138.36x = 2,904,611.85
  5. Step 5: Solve for x
    x = 2,904,611.85/2,138.36
  6. Step 6: Final answer
    x = 1,358.34

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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.