Home / 1,408.26-2,109.15-791.04

Finding the Fourth Proportional to 1,408.26, 2,109.15 and 791.04

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Solution

The fourth proportional to 1,408.26, 2,109.15 and 791.04 is: 1,184.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.26 : 2,109.15 = 791.04 : x
  2. Step 2: Convert to fraction form
    1,408.26/2,109.15 = 791.04/x
  3. Step 3: Cross multiply
    1,408.26x = 2,109.15 × 791.04
  4. Step 4: Simplify right side
    1,408.26x = 1,668,422.02
  5. Step 5: Solve for x
    x = 1,668,422.02/1,408.26
  6. Step 6: Final answer
    x = 1,184.74

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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.