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Finding the Fourth Proportional to 12,165.72, 18,234 and 4,765.56

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Solution

The fourth proportional to 12,165.72, 18,234 and 4,765.56 is: 7,142.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.72 : 18,234 = 4,765.56 : x
  2. Step 2: Convert to fraction form
    12,165.72/18,234 = 4,765.56/x
  3. Step 3: Cross multiply
    12,165.72x = 18,234 × 4,765.56
  4. Step 4: Simplify right side
    12,165.72x = 86,895,221.04
  5. Step 5: Solve for x
    x = 86,895,221.04/12,165.72
  6. Step 6: Final answer
    x = 7,142.63

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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.