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Finding the Fourth Proportional to 3,208.88, 4,811.68 and 1,476

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Solution

The fourth proportional to 3,208.88, 4,811.68 and 1,476 is: 2,213.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.88 : 4,811.68 = 1,476 : x
  2. Step 2: Convert to fraction form
    3,208.88/4,811.68 = 1,476/x
  3. Step 3: Cross multiply
    3,208.88x = 4,811.68 × 1,476
  4. Step 4: Simplify right side
    3,208.88x = 7,102,039.68
  5. Step 5: Solve for x
    x = 7,102,039.68/3,208.88
  6. Step 6: Final answer
    x = 2,213.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.