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Finding the Fourth Proportional to 20,185, 27,855.30 and 11,353

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Solution

The fourth proportional to 20,185, 27,855.30 and 11,353 is: 15,667.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,185 : 27,855.30 = 11,353 : x
  2. Step 2: Convert to fraction form
    20,185/27,855.30 = 11,353/x
  3. Step 3: Cross multiply
    20,185x = 27,855.30 × 11,353
  4. Step 4: Simplify right side
    20,185x = 316,241,220.90
  5. Step 5: Solve for x
    x = 316,241,220.90/20,185
  6. Step 6: Final answer
    x = 15,667.14

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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.