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Finding the Fourth Proportional to 3,276.72, 4,916.16 and 1,328.40

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Solution

The fourth proportional to 3,276.72, 4,916.16 and 1,328.40 is: 1,993.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,276.72 : 4,916.16 = 1,328.40 : x
  2. Step 2: Convert to fraction form
    3,276.72/4,916.16 = 1,328.40/x
  3. Step 3: Cross multiply
    3,276.72x = 4,916.16 × 1,328.40
  4. Step 4: Simplify right side
    3,276.72x = 6,530,626.94
  5. Step 5: Solve for x
    x = 6,530,626.94/3,276.72
  6. Step 6: Final answer
    x = 1,993.04

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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.