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Finding the Fourth Proportional to 20,514, 30,770.94 and 15,840.84

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Solution

The fourth proportional to 20,514, 30,770.94 and 15,840.84 is: 23,761.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,514 : 30,770.94 = 15,840.84 : x
  2. Step 2: Convert to fraction form
    20,514/30,770.94 = 15,840.84/x
  3. Step 3: Cross multiply
    20,514x = 30,770.94 × 15,840.84
  4. Step 4: Simplify right side
    20,514x = 487,437,537.19
  5. Step 5: Solve for x
    x = 487,437,537.19/20,514
  6. Step 6: Final answer
    x = 23,761.21

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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.