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Finding the Fourth Proportional to 20,505.44, 30,719.46 and 11,713.88

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Solution

The fourth proportional to 20,505.44, 30,719.46 and 11,713.88 is: 17,548.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,505.44 : 30,719.46 = 11,713.88 : x
  2. Step 2: Convert to fraction form
    20,505.44/30,719.46 = 11,713.88/x
  3. Step 3: Cross multiply
    20,505.44x = 30,719.46 × 11,713.88
  4. Step 4: Simplify right side
    20,505.44x = 359,844,068.10
  5. Step 5: Solve for x
    x = 359,844,068.10/20,505.44
  6. Step 6: Final answer
    x = 17,548.71

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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.