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Finding the Fourth Proportional to 3,274.65, 4,913.19 and 1,328.22

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Solution

The fourth proportional to 3,274.65, 4,913.19 and 1,328.22 is: 1,992.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.65 : 4,913.19 = 1,328.22 : x
  2. Step 2: Convert to fraction form
    3,274.65/4,913.19 = 1,328.22/x
  3. Step 3: Cross multiply
    3,274.65x = 4,913.19 × 1,328.22
  4. Step 4: Simplify right side
    3,274.65x = 6,525,797.22
  5. Step 5: Solve for x
    x = 6,525,797.22/3,274.65
  6. Step 6: Final answer
    x = 1,992.82

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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.