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Finding the Fourth Proportional to 2,986.94, 4,481.91 and 2,261.00

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Solution

The fourth proportional to 2,986.94, 4,481.91 and 2,261.00 is: 3,392.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.94 : 4,481.91 = 2,261.00 : x
  2. Step 2: Convert to fraction form
    2,986.94/4,481.91 = 2,261.00/x
  3. Step 3: Cross multiply
    2,986.94x = 4,481.91 × 2,261.00
  4. Step 4: Simplify right side
    2,986.94x = 10,133,576.10
  5. Step 5: Solve for x
    x = 10,133,576.10/2,986.94
  6. Step 6: Final answer
    x = 3,392.63

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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.