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Finding the Fourth Proportional to 18,536.76, 27,806.94 and 5,385.60

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Solution

The fourth proportional to 18,536.76, 27,806.94 and 5,385.60 is: 8,078.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,536.76 : 27,806.94 = 5,385.60 : x
  2. Step 2: Convert to fraction form
    18,536.76/27,806.94 = 5,385.60/x
  3. Step 3: Cross multiply
    18,536.76x = 27,806.94 × 5,385.60
  4. Step 4: Simplify right side
    18,536.76x = 149,757,056.06
  5. Step 5: Solve for x
    x = 149,757,056.06/18,536.76
  6. Step 6: Final answer
    x = 8,078.92

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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.