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Finding the Fourth Proportional to 18,656.25, 27,983.80 and 7,559.96

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Solution

The fourth proportional to 18,656.25, 27,983.80 and 7,559.96 is: 11,339.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,656.25 : 27,983.80 = 7,559.96 : x
  2. Step 2: Convert to fraction form
    18,656.25/27,983.80 = 7,559.96/x
  3. Step 3: Cross multiply
    18,656.25x = 27,983.80 × 7,559.96
  4. Step 4: Simplify right side
    18,656.25x = 211,556,378.15
  5. Step 5: Solve for x
    x = 211,556,378.15/18,656.25
  6. Step 6: Final answer
    x = 11,339.71

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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.