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Finding the Fourth Proportional to 18,086, 27,129.52 and 5,774

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Solution

The fourth proportional to 18,086, 27,129.52 and 5,774 is: 8,661.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,086 : 27,129.52 = 5,774 : x
  2. Step 2: Convert to fraction form
    18,086/27,129.52 = 5,774/x
  3. Step 3: Cross multiply
    18,086x = 27,129.52 × 5,774
  4. Step 4: Simplify right side
    18,086x = 156,645,848.48
  5. Step 5: Solve for x
    x = 156,645,848.48/18,086
  6. Step 6: Final answer
    x = 8,661.17

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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.