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Finding the Fourth Proportional to 11,963.97, 17,986.50 and 9,640.28

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Solution

The fourth proportional to 11,963.97, 17,986.50 and 9,640.28 is: 14,493.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.97 : 17,986.50 = 9,640.28 : x
  2. Step 2: Convert to fraction form
    11,963.97/17,986.50 = 9,640.28/x
  3. Step 3: Cross multiply
    11,963.97x = 17,986.50 × 9,640.28
  4. Step 4: Simplify right side
    11,963.97x = 173,394,941.19
  5. Step 5: Solve for x
    x = 173,394,941.19/11,963.97
  6. Step 6: Final answer
    x = 14,493.09

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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.