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Finding the Fourth Proportional to 18,085, 27,127.98 and 5,773

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Solution

The fourth proportional to 18,085, 27,127.98 and 5,773 is: 8,659.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,085 : 27,127.98 = 5,773 : x
  2. Step 2: Convert to fraction form
    18,085/27,127.98 = 5,773/x
  3. Step 3: Cross multiply
    18,085x = 27,127.98 × 5,773
  4. Step 4: Simplify right side
    18,085x = 156,609,828.54
  5. Step 5: Solve for x
    x = 156,609,828.54/18,085
  6. Step 6: Final answer
    x = 8,659.65

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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.