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Finding the Fourth Proportional to 14,235.34, 21,354.09 and 3,847

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Solution

The fourth proportional to 14,235.34, 21,354.09 and 3,847 is: 5,770.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,235.34 : 21,354.09 = 3,847 : x
  2. Step 2: Convert to fraction form
    14,235.34/21,354.09 = 3,847/x
  3. Step 3: Cross multiply
    14,235.34x = 21,354.09 × 3,847
  4. Step 4: Simplify right side
    14,235.34x = 82,149,184.23
  5. Step 5: Solve for x
    x = 82,149,184.23/14,235.34
  6. Step 6: Final answer
    x = 5,770.79

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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.