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Finding the Fourth Proportional to 20,306.74, 30,473.07 and 7,836.82

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Solution

The fourth proportional to 20,306.74, 30,473.07 and 7,836.82 is: 11,760.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,306.74 : 30,473.07 = 7,836.82 : x
  2. Step 2: Convert to fraction form
    20,306.74/30,473.07 = 7,836.82/x
  3. Step 3: Cross multiply
    20,306.74x = 30,473.07 × 7,836.82
  4. Step 4: Simplify right side
    20,306.74x = 238,811,964.44
  5. Step 5: Solve for x
    x = 238,811,964.44/20,306.74
  6. Step 6: Final answer
    x = 11,760.23

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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.