Home / 3,194-4,408.80-2,265.20

Finding the Fourth Proportional to 3,194, 4,408.80 and 2,265.20

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Solution

The fourth proportional to 3,194, 4,408.80 and 2,265.20 is: 3,126.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194 : 4,408.80 = 2,265.20 : x
  2. Step 2: Convert to fraction form
    3,194/4,408.80 = 2,265.20/x
  3. Step 3: Cross multiply
    3,194x = 4,408.80 × 2,265.20
  4. Step 4: Simplify right side
    3,194x = 9,986,813.76
  5. Step 5: Solve for x
    x = 9,986,813.76/3,194
  6. Step 6: Final answer
    x = 3,126.74

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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.