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Finding the Fourth Proportional to 15,202.88, 20,991.84 and 11,660.48

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Solution

The fourth proportional to 15,202.88, 20,991.84 and 11,660.48 is: 16,100.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,202.88 : 20,991.84 = 11,660.48 : x
  2. Step 2: Convert to fraction form
    15,202.88/20,991.84 = 11,660.48/x
  3. Step 3: Cross multiply
    15,202.88x = 20,991.84 × 11,660.48
  4. Step 4: Simplify right side
    15,202.88x = 244,774,930.48
  5. Step 5: Solve for x
    x = 244,774,930.48/15,202.88
  6. Step 6: Final answer
    x = 16,100.56

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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.