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Finding the Fourth Proportional to 11,947.44, 16,489.44 and 9,954.84

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Solution

The fourth proportional to 11,947.44, 16,489.44 and 9,954.84 is: 13,739.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947.44 : 16,489.44 = 9,954.84 : x
  2. Step 2: Convert to fraction form
    11,947.44/16,489.44 = 9,954.84/x
  3. Step 3: Cross multiply
    11,947.44x = 16,489.44 × 9,954.84
  4. Step 4: Simplify right side
    11,947.44x = 164,149,736.89
  5. Step 5: Solve for x
    x = 164,149,736.89/11,947.44
  6. Step 6: Final answer
    x = 13,739.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.