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Finding the Fourth Proportional to 12,883.54, 19,329 and 6,311.65

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Solution

The fourth proportional to 12,883.54, 19,329 and 6,311.65 is: 9,469.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.54 : 19,329 = 6,311.65 : x
  2. Step 2: Convert to fraction form
    12,883.54/19,329 = 6,311.65/x
  3. Step 3: Cross multiply
    12,883.54x = 19,329 × 6,311.65
  4. Step 4: Simplify right side
    12,883.54x = 121,997,882.85
  5. Step 5: Solve for x
    x = 121,997,882.85/12,883.54
  6. Step 6: Final answer
    x = 9,469.28

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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.