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Finding the Fourth Proportional to 55,227, 82,840.50 and 13,674

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Solution

The fourth proportional to 55,227, 82,840.50 and 13,674 is: 20,511

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,227 : 82,840.50 = 13,674 : x
  2. Step 2: Convert to fraction form
    55,227/82,840.50 = 13,674/x
  3. Step 3: Cross multiply
    55,227x = 82,840.50 × 13,674
  4. Step 4: Simplify right side
    55,227x = 1,132,760,997
  5. Step 5: Solve for x
    x = 1,132,760,997/55,227
  6. Step 6: Final answer
    x = 20,511

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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.