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Finding the Fourth Proportional to 3,194.80, 4,786.80 and 2,730.40

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Solution

The fourth proportional to 3,194.80, 4,786.80 and 2,730.40 is: 4,090.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.80 : 4,786.80 = 2,730.40 : x
  2. Step 2: Convert to fraction form
    3,194.80/4,786.80 = 2,730.40/x
  3. Step 3: Cross multiply
    3,194.80x = 4,786.80 × 2,730.40
  4. Step 4: Simplify right side
    3,194.80x = 13,069,878.72
  5. Step 5: Solve for x
    x = 13,069,878.72/3,194.80
  6. Step 6: Final answer
    x = 4,090.98

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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.