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Finding the Fourth Proportional to 2,644.09, 3,963.71 and 911.50

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Solution

The fourth proportional to 2,644.09, 3,963.71 and 911.50 is: 1,366.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.09 : 3,963.71 = 911.50 : x
  2. Step 2: Convert to fraction form
    2,644.09/3,963.71 = 911.50/x
  3. Step 3: Cross multiply
    2,644.09x = 3,963.71 × 911.50
  4. Step 4: Simplify right side
    2,644.09x = 3,612,917.11
  5. Step 5: Solve for x
    x = 3,612,917.11/2,644.09
  6. Step 6: Final answer
    x = 1,366.41

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1.5x scale

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.