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Finding the Fourth Proportional to 18,570.75, 27,857.34 and 8,182.50

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Solution

The fourth proportional to 18,570.75, 27,857.34 and 8,182.50 is: 12,274.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,570.75 : 27,857.34 = 8,182.50 : x
  2. Step 2: Convert to fraction form
    18,570.75/27,857.34 = 8,182.50/x
  3. Step 3: Cross multiply
    18,570.75x = 27,857.34 × 8,182.50
  4. Step 4: Simplify right side
    18,570.75x = 227,942,684.55
  5. Step 5: Solve for x
    x = 227,942,684.55/18,570.75
  6. Step 6: Final answer
    x = 12,274.29

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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.