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Finding the Fourth Proportional to 3,409.65, 5,114.48 and 1,678.41

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Solution

The fourth proportional to 3,409.65, 5,114.48 and 1,678.41 is: 2,517.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.65 : 5,114.48 = 1,678.41 : x
  2. Step 2: Convert to fraction form
    3,409.65/5,114.48 = 1,678.41/x
  3. Step 3: Cross multiply
    3,409.65x = 5,114.48 × 1,678.41
  4. Step 4: Simplify right side
    3,409.65x = 8,584,185.98
  5. Step 5: Solve for x
    x = 8,584,185.98/3,409.65
  6. Step 6: Final answer
    x = 2,517.62

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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.