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Finding the Fourth Proportional to 20,635.25, 30,965.17 and 7,488.65

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Solution

The fourth proportional to 20,635.25, 30,965.17 and 7,488.65 is: 11,237.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,635.25 : 30,965.17 = 7,488.65 : x
  2. Step 2: Convert to fraction form
    20,635.25/30,965.17 = 7,488.65/x
  3. Step 3: Cross multiply
    20,635.25x = 30,965.17 × 7,488.65
  4. Step 4: Simplify right side
    20,635.25x = 231,887,239.94
  5. Step 5: Solve for x
    x = 231,887,239.94/20,635.25
  6. Step 6: Final answer
    x = 11,237.43

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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.