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Finding the Fourth Proportional to 18,415.04, 27,600.96 and 7,882

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Solution

The fourth proportional to 18,415.04, 27,600.96 and 7,882 is: 11,813.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,415.04 : 27,600.96 = 7,882 : x
  2. Step 2: Convert to fraction form
    18,415.04/27,600.96 = 7,882/x
  3. Step 3: Cross multiply
    18,415.04x = 27,600.96 × 7,882
  4. Step 4: Simplify right side
    18,415.04x = 217,550,766.72
  5. Step 5: Solve for x
    x = 217,550,766.72/18,415.04
  6. Step 6: Final answer
    x = 11,813.75

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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.