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Finding the Fourth Proportional to 20,506.67, 30,760 and 11,735.38

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Solution

The fourth proportional to 20,506.67, 30,760 and 11,735.38 is: 17,603.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506.67 : 30,760 = 11,735.38 : x
  2. Step 2: Convert to fraction form
    20,506.67/30,760 = 11,735.38/x
  3. Step 3: Cross multiply
    20,506.67x = 30,760 × 11,735.38
  4. Step 4: Simplify right side
    20,506.67x = 360,980,288.80
  5. Step 5: Solve for x
    x = 360,980,288.80/20,506.67
  6. Step 6: Final answer
    x = 17,603.07

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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.