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Finding the Fourth Proportional to 3,205.50, 4,802.79 and 2,276.46

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Solution

The fourth proportional to 3,205.50, 4,802.79 and 2,276.46 is: 3,410.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.50 : 4,802.79 = 2,276.46 : x
  2. Step 2: Convert to fraction form
    3,205.50/4,802.79 = 2,276.46/x
  3. Step 3: Cross multiply
    3,205.50x = 4,802.79 × 2,276.46
  4. Step 4: Simplify right side
    3,205.50x = 10,933,359.32
  5. Step 5: Solve for x
    x = 10,933,359.32/3,205.50
  6. Step 6: Final answer
    x = 3,410.81

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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.