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Finding the Fourth Proportional to 18,567.82, 27,855.78 and 7,474.87

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Solution

The fourth proportional to 18,567.82, 27,855.78 and 7,474.87 is: 11,213.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,567.82 : 27,855.78 = 7,474.87 : x
  2. Step 2: Convert to fraction form
    18,567.82/27,855.78 = 7,474.87/x
  3. Step 3: Cross multiply
    18,567.82x = 27,855.78 × 7,474.87
  4. Step 4: Simplify right side
    18,567.82x = 208,218,334.25
  5. Step 5: Solve for x
    x = 208,218,334.25/18,567.82
  6. Step 6: Final answer
    x = 11,213.94

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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.