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Finding the Fourth Proportional to 18,950.96, 28,436.04 and 12,782

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Solution

The fourth proportional to 18,950.96, 28,436.04 and 12,782 is: 19,179.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,950.96 : 28,436.04 = 12,782 : x
  2. Step 2: Convert to fraction form
    18,950.96/28,436.04 = 12,782/x
  3. Step 3: Cross multiply
    18,950.96x = 28,436.04 × 12,782
  4. Step 4: Simplify right side
    18,950.96x = 363,469,463.28
  5. Step 5: Solve for x
    x = 363,469,463.28/18,950.96
  6. Step 6: Final answer
    x = 19,179.47

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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.