Home / 1,426.26-1,968.24-805.26

Finding the Fourth Proportional to 1,426.26, 1,968.24 and 805.26

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Solution

The fourth proportional to 1,426.26, 1,968.24 and 805.26 is: 1,111.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.26 : 1,968.24 = 805.26 : x
  2. Step 2: Convert to fraction form
    1,426.26/1,968.24 = 805.26/x
  3. Step 3: Cross multiply
    1,426.26x = 1,968.24 × 805.26
  4. Step 4: Simplify right side
    1,426.26x = 1,584,944.94
  5. Step 5: Solve for x
    x = 1,584,944.94/1,426.26
  6. Step 6: Final answer
    x = 1,111.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.