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Finding the Fourth Proportional to 3,208.53, 4,811.07 and 1,647.90

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Solution

The fourth proportional to 3,208.53, 4,811.07 and 1,647.90 is: 2,470.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.53 : 4,811.07 = 1,647.90 : x
  2. Step 2: Convert to fraction form
    3,208.53/4,811.07 = 1,647.90/x
  3. Step 3: Cross multiply
    3,208.53x = 4,811.07 × 1,647.90
  4. Step 4: Simplify right side
    3,208.53x = 7,928,162.25
  5. Step 5: Solve for x
    x = 7,928,162.25/3,208.53
  6. Step 6: Final answer
    x = 2,470.96

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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.