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Finding the Fourth Proportional to 3,308.99, 4,963.41 and 843.75

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Solution

The fourth proportional to 3,308.99, 4,963.41 and 843.75 is: 1,265.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,308.99 : 4,963.41 = 843.75 : x
  2. Step 2: Convert to fraction form
    3,308.99/4,963.41 = 843.75/x
  3. Step 3: Cross multiply
    3,308.99x = 4,963.41 × 843.75
  4. Step 4: Simplify right side
    3,308.99x = 4,187,877.19
  5. Step 5: Solve for x
    x = 4,187,877.19/3,308.99
  6. Step 6: Final answer
    x = 1,265.61

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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.