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Finding the Fourth Proportional to 12,997, 19,497.53 and 4,229.85

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Solution

The fourth proportional to 12,997, 19,497.53 and 4,229.85 is: 6,345.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997 : 19,497.53 = 4,229.85 : x
  2. Step 2: Convert to fraction form
    12,997/19,497.53 = 4,229.85/x
  3. Step 3: Cross multiply
    12,997x = 19,497.53 × 4,229.85
  4. Step 4: Simplify right side
    12,997x = 82,471,627.27
  5. Step 5: Solve for x
    x = 82,471,627.27/12,997
  6. Step 6: Final answer
    x = 6,345.44

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1.5x scale

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.