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Finding the Fourth Proportional to 3,311.65, 4,968.02 and 1,120.51

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Solution

The fourth proportional to 3,311.65, 4,968.02 and 1,120.51 is: 1,680.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.65 : 4,968.02 = 1,120.51 : x
  2. Step 2: Convert to fraction form
    3,311.65/4,968.02 = 1,120.51/x
  3. Step 3: Cross multiply
    3,311.65x = 4,968.02 × 1,120.51
  4. Step 4: Simplify right side
    3,311.65x = 5,566,716.09
  5. Step 5: Solve for x
    x = 5,566,716.09/3,311.65
  6. Step 6: Final answer
    x = 1,680.95

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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.