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Finding the Fourth Proportional to 20,956.16, 28,918.61 and 11,524.11

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Solution

The fourth proportional to 20,956.16, 28,918.61 and 11,524.11 is: 15,902.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,956.16 : 28,918.61 = 11,524.11 : x
  2. Step 2: Convert to fraction form
    20,956.16/28,918.61 = 11,524.11/x
  3. Step 3: Cross multiply
    20,956.16x = 28,918.61 × 11,524.11
  4. Step 4: Simplify right side
    20,956.16x = 333,261,185.07
  5. Step 5: Solve for x
    x = 333,261,185.07/20,956.16
  6. Step 6: Final answer
    x = 15,902.78

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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.