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Finding the Fourth Proportional to 3,208.74, 4,811.89 and 1,259.88

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Solution

The fourth proportional to 3,208.74, 4,811.89 and 1,259.88 is: 1,889.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.74 : 4,811.89 = 1,259.88 : x
  2. Step 2: Convert to fraction form
    3,208.74/4,811.89 = 1,259.88/x
  3. Step 3: Cross multiply
    3,208.74x = 4,811.89 × 1,259.88
  4. Step 4: Simplify right side
    3,208.74x = 6,062,403.97
  5. Step 5: Solve for x
    x = 6,062,403.97/3,208.74
  6. Step 6: Final answer
    x = 1,889.34

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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.