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Finding the Fourth Proportional to 3,266.94, 4,900.41 and 1,318.69

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Solution

The fourth proportional to 3,266.94, 4,900.41 and 1,318.69 is: 1,978.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.94 : 4,900.41 = 1,318.69 : x
  2. Step 2: Convert to fraction form
    3,266.94/4,900.41 = 1,318.69/x
  3. Step 3: Cross multiply
    3,266.94x = 4,900.41 × 1,318.69
  4. Step 4: Simplify right side
    3,266.94x = 6,462,109.41
  5. Step 5: Solve for x
    x = 6,462,109.41/3,266.94
  6. Step 6: Final answer
    x = 1,978.03

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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.