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Finding the Fourth Proportional to 3,208.88, 4,813.31 and 1,156.88

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Solution

The fourth proportional to 3,208.88, 4,813.31 and 1,156.88 is: 1,735.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.88 : 4,813.31 = 1,156.88 : x
  2. Step 2: Convert to fraction form
    3,208.88/4,813.31 = 1,156.88/x
  3. Step 3: Cross multiply
    3,208.88x = 4,813.31 × 1,156.88
  4. Step 4: Simplify right side
    3,208.88x = 5,568,400.90
  5. Step 5: Solve for x
    x = 5,568,400.90/3,208.88
  6. Step 6: Final answer
    x = 1,735.31

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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.