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Finding the Fourth Proportional to 2,137.74, 3,207.94 and 905.18

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Solution

The fourth proportional to 2,137.74, 3,207.94 and 905.18 is: 1,358.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.74 : 3,207.94 = 905.18 : x
  2. Step 2: Convert to fraction form
    2,137.74/3,207.94 = 905.18/x
  3. Step 3: Cross multiply
    2,137.74x = 3,207.94 × 905.18
  4. Step 4: Simplify right side
    2,137.74x = 2,903,763.13
  5. Step 5: Solve for x
    x = 2,903,763.13/2,137.74
  6. Step 6: Final answer
    x = 1,358.33

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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.