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Finding the Fourth Proportional to 2,138.49, 3,207.86 and 905.73

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Solution

The fourth proportional to 2,138.49, 3,207.86 and 905.73 is: 1,358.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.49 : 3,207.86 = 905.73 : x
  2. Step 2: Convert to fraction form
    2,138.49/3,207.86 = 905.73/x
  3. Step 3: Cross multiply
    2,138.49x = 3,207.86 × 905.73
  4. Step 4: Simplify right side
    2,138.49x = 2,905,455.04
  5. Step 5: Solve for x
    x = 2,905,455.04/2,138.49
  6. Step 6: Final answer
    x = 1,358.65

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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.