Home / 3,194.15-4,791.90-972.80

Finding the Fourth Proportional to 3,194.15, 4,791.90 and 972.80

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Solution

The fourth proportional to 3,194.15, 4,791.90 and 972.80 is: 1,459.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.15 : 4,791.90 = 972.80 : x
  2. Step 2: Convert to fraction form
    3,194.15/4,791.90 = 972.80/x
  3. Step 3: Cross multiply
    3,194.15x = 4,791.90 × 972.80
  4. Step 4: Simplify right side
    3,194.15x = 4,661,560.32
  5. Step 5: Solve for x
    x = 4,661,560.32/3,194.15
  6. Step 6: Final answer
    x = 1,459.41

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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.