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Finding the Fourth Proportional to 20,765.84, 31,161.20 and 7,619.54

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Solution

The fourth proportional to 20,765.84, 31,161.20 and 7,619.54 is: 11,433.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,765.84 : 31,161.20 = 7,619.54 : x
  2. Step 2: Convert to fraction form
    20,765.84/31,161.20 = 7,619.54/x
  3. Step 3: Cross multiply
    20,765.84x = 31,161.20 × 7,619.54
  4. Step 4: Simplify right side
    20,765.84x = 237,433,815.94
  5. Step 5: Solve for x
    x = 237,433,815.94/20,765.84
  6. Step 6: Final answer
    x = 11,433.87

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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.