Home / 1,426.12-2,138.77-905.33

Finding the Fourth Proportional to 1,426.12, 2,138.77 and 905.33

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Solution

The fourth proportional to 1,426.12, 2,138.77 and 905.33 is: 1,357.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.12 : 2,138.77 = 905.33 : x
  2. Step 2: Convert to fraction form
    1,426.12/2,138.77 = 905.33/x
  3. Step 3: Cross multiply
    1,426.12x = 2,138.77 × 905.33
  4. Step 4: Simplify right side
    1,426.12x = 1,936,288.12
  5. Step 5: Solve for x
    x = 1,936,288.12/1,426.12
  6. Step 6: Final answer
    x = 1,357.74

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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.