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Finding the Fourth Proportional to 2,643.12, 3,963.72 and 911.32

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Solution

The fourth proportional to 2,643.12, 3,963.72 and 911.32 is: 1,366.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.12 : 3,963.72 = 911.32 : x
  2. Step 2: Convert to fraction form
    2,643.12/3,963.72 = 911.32/x
  3. Step 3: Cross multiply
    2,643.12x = 3,963.72 × 911.32
  4. Step 4: Simplify right side
    2,643.12x = 3,612,217.31
  5. Step 5: Solve for x
    x = 3,612,217.31/2,643.12
  6. Step 6: Final answer
    x = 1,366.65

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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.