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Finding the Fourth Proportional to 2,107.91, 3,164.31 and 1,135.91

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Solution

The fourth proportional to 2,107.91, 3,164.31 and 1,135.91 is: 1,705.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.91 : 3,164.31 = 1,135.91 : x
  2. Step 2: Convert to fraction form
    2,107.91/3,164.31 = 1,135.91/x
  3. Step 3: Cross multiply
    2,107.91x = 3,164.31 × 1,135.91
  4. Step 4: Simplify right side
    2,107.91x = 3,594,371.37
  5. Step 5: Solve for x
    x = 3,594,371.37/2,107.91
  6. Step 6: Final answer
    x = 1,705.18

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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.