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Finding the Fourth Proportional to 18,030, 27,044.64 and 8,167.44

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Solution

The fourth proportional to 18,030, 27,044.64 and 8,167.44 is: 12,251.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,030 : 27,044.64 = 8,167.44 : x
  2. Step 2: Convert to fraction form
    18,030/27,044.64 = 8,167.44/x
  3. Step 3: Cross multiply
    18,030x = 27,044.64 × 8,167.44
  4. Step 4: Simplify right side
    18,030x = 220,885,474.52
  5. Step 5: Solve for x
    x = 220,885,474.52/18,030
  6. Step 6: Final answer
    x = 12,251.00

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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.