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Finding the Fourth Proportional to 18,919.71, 28,379.61 and 7,814.25

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Solution

The fourth proportional to 18,919.71, 28,379.61 and 7,814.25 is: 11,721.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,919.71 : 28,379.61 = 7,814.25 : x
  2. Step 2: Convert to fraction form
    18,919.71/28,379.61 = 7,814.25/x
  3. Step 3: Cross multiply
    18,919.71x = 28,379.61 × 7,814.25
  4. Step 4: Simplify right side
    18,919.71x = 221,765,367.44
  5. Step 5: Solve for x
    x = 221,765,367.44/18,919.71
  6. Step 6: Final answer
    x = 11,721.39

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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.