Home / 1,426.23-1,968.19-805.23

Finding the Fourth Proportional to 1,426.23, 1,968.19 and 805.23

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Solution

The fourth proportional to 1,426.23, 1,968.19 and 805.23 is: 1,111.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.23 : 1,968.19 = 805.23 : x
  2. Step 2: Convert to fraction form
    1,426.23/1,968.19 = 805.23/x
  3. Step 3: Cross multiply
    1,426.23x = 1,968.19 × 805.23
  4. Step 4: Simplify right side
    1,426.23x = 1,584,843.62
  5. Step 5: Solve for x
    x = 1,584,843.62/1,426.23
  6. Step 6: Final answer
    x = 1,111.21

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1.5x scale

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.