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Finding the Fourth Proportional to 12,999, 19,500.53 and 4,231.85

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Solution

The fourth proportional to 12,999, 19,500.53 and 4,231.85 is: 6,348.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,999 : 19,500.53 = 4,231.85 : x
  2. Step 2: Convert to fraction form
    12,999/19,500.53 = 4,231.85/x
  3. Step 3: Cross multiply
    12,999x = 19,500.53 × 4,231.85
  4. Step 4: Simplify right side
    12,999x = 82,523,317.88
  5. Step 5: Solve for x
    x = 82,523,317.88/12,999
  6. Step 6: Final answer
    x = 6,348.44

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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.