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Finding the Fourth Proportional to 3,981.92, 5,975.08 and 1,643.64

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Solution

The fourth proportional to 3,981.92, 5,975.08 and 1,643.64 is: 2,466.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.92 : 5,975.08 = 1,643.64 : x
  2. Step 2: Convert to fraction form
    3,981.92/5,975.08 = 1,643.64/x
  3. Step 3: Cross multiply
    3,981.92x = 5,975.08 × 1,643.64
  4. Step 4: Simplify right side
    3,981.92x = 9,820,880.49
  5. Step 5: Solve for x
    x = 9,820,880.49/3,981.92
  6. Step 6: Final answer
    x = 2,466.37

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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.