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Finding the Fourth Proportional to 18,964.06, 28,430.02 and 7,863.82

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Solution

The fourth proportional to 18,964.06, 28,430.02 and 7,863.82 is: 11,789.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,964.06 : 28,430.02 = 7,863.82 : x
  2. Step 2: Convert to fraction form
    18,964.06/28,430.02 = 7,863.82/x
  3. Step 3: Cross multiply
    18,964.06x = 28,430.02 × 7,863.82
  4. Step 4: Simplify right side
    18,964.06x = 223,568,559.88
  5. Step 5: Solve for x
    x = 223,568,559.88/18,964.06
  6. Step 6: Final answer
    x = 11,789.07

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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.