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Finding the Fourth Proportional to 3,276.40, 4,907.40 and 2,844.40

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Solution

The fourth proportional to 3,276.40, 4,907.40 and 2,844.40 is: 4,260.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,276.40 : 4,907.40 = 2,844.40 : x
  2. Step 2: Convert to fraction form
    3,276.40/4,907.40 = 2,844.40/x
  3. Step 3: Cross multiply
    3,276.40x = 4,907.40 × 2,844.40
  4. Step 4: Simplify right side
    3,276.40x = 13,958,608.56
  5. Step 5: Solve for x
    x = 13,958,608.56/3,276.40
  6. Step 6: Final answer
    x = 4,260.35

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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.