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Finding the Fourth Proportional to 19,530, 29,299.86 and 5,679

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Solution

The fourth proportional to 19,530, 29,299.86 and 5,679 is: 8,519.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,530 : 29,299.86 = 5,679 : x
  2. Step 2: Convert to fraction form
    19,530/29,299.86 = 5,679/x
  3. Step 3: Cross multiply
    19,530x = 29,299.86 × 5,679
  4. Step 4: Simplify right side
    19,530x = 166,393,904.94
  5. Step 5: Solve for x
    x = 166,393,904.94/19,530
  6. Step 6: Final answer
    x = 8,519.91

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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.