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Finding the Fourth Proportional to 18,032, 27,047.64 and 8,169.44

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Solution

The fourth proportional to 18,032, 27,047.64 and 8,169.44 is: 12,254.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,032 : 27,047.64 = 8,169.44 : x
  2. Step 2: Convert to fraction form
    18,032/27,047.64 = 8,169.44/x
  3. Step 3: Cross multiply
    18,032x = 27,047.64 × 8,169.44
  4. Step 4: Simplify right side
    18,032x = 220,964,072.12
  5. Step 5: Solve for x
    x = 220,964,072.12/18,032
  6. Step 6: Final answer
    x = 12,254.00

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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.