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Finding the Fourth Proportional to 18,027, 27,040.50 and 5,715

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Solution

The fourth proportional to 18,027, 27,040.50 and 5,715 is: 8,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,027 : 27,040.50 = 5,715 : x
  2. Step 2: Convert to fraction form
    18,027/27,040.50 = 5,715/x
  3. Step 3: Cross multiply
    18,027x = 27,040.50 × 5,715
  4. Step 4: Simplify right side
    18,027x = 154,536,457.50
  5. Step 5: Solve for x
    x = 154,536,457.50/18,027
  6. Step 6: Final answer
    x = 8,572.50

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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.