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Finding the Fourth Proportional to 18,886.44, 28,333.04 and 7,786.96

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Solution

The fourth proportional to 18,886.44, 28,333.04 and 7,786.96 is: 11,681.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,886.44 : 28,333.04 = 7,786.96 : x
  2. Step 2: Convert to fraction form
    18,886.44/28,333.04 = 7,786.96/x
  3. Step 3: Cross multiply
    18,886.44x = 28,333.04 × 7,786.96
  4. Step 4: Simplify right side
    18,886.44x = 220,628,249.16
  5. Step 5: Solve for x
    x = 220,628,249.16/18,886.44
  6. Step 6: Final answer
    x = 11,681.83

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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.