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Finding the Fourth Proportional to 18,381.66, 27,577.12 and 5,902.80

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Solution

The fourth proportional to 18,381.66, 27,577.12 and 5,902.80 is: 8,855.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,381.66 : 27,577.12 = 5,902.80 : x
  2. Step 2: Convert to fraction form
    18,381.66/27,577.12 = 5,902.80/x
  3. Step 3: Cross multiply
    18,381.66x = 27,577.12 × 5,902.80
  4. Step 4: Simplify right side
    18,381.66x = 162,782,223.94
  5. Step 5: Solve for x
    x = 162,782,223.94/18,381.66
  6. Step 6: Final answer
    x = 8,855.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.