Home / 2,272.41-3,408.93-811.80

Finding the Fourth Proportional to 2,272.41, 3,408.93 and 811.80

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Solution

The fourth proportional to 2,272.41, 3,408.93 and 811.80 is: 1,217.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.41 : 3,408.93 = 811.80 : x
  2. Step 2: Convert to fraction form
    2,272.41/3,408.93 = 811.80/x
  3. Step 3: Cross multiply
    2,272.41x = 3,408.93 × 811.80
  4. Step 4: Simplify right side
    2,272.41x = 2,767,369.37
  5. Step 5: Solve for x
    x = 2,767,369.37/2,272.41
  6. Step 6: Final answer
    x = 1,217.81

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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.