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Finding the Fourth Proportional to 18,772, 28,167.72 and 9,538

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Solution

The fourth proportional to 18,772, 28,167.72 and 9,538 is: 14,311.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,772 : 28,167.72 = 9,538 : x
  2. Step 2: Convert to fraction form
    18,772/28,167.72 = 9,538/x
  3. Step 3: Cross multiply
    18,772x = 28,167.72 × 9,538
  4. Step 4: Simplify right side
    18,772x = 268,663,713.36
  5. Step 5: Solve for x
    x = 268,663,713.36/18,772
  6. Step 6: Final answer
    x = 14,311.94

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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.