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Finding the Fourth Proportional to 19,530, 29,296.08 and 5,680.08

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Solution

The fourth proportional to 19,530, 29,296.08 and 5,680.08 is: 8,520.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,530 : 29,296.08 = 5,680.08 : x
  2. Step 2: Convert to fraction form
    19,530/29,296.08 = 5,680.08/x
  3. Step 3: Cross multiply
    19,530x = 29,296.08 × 5,680.08
  4. Step 4: Simplify right side
    19,530x = 166,404,078.09
  5. Step 5: Solve for x
    x = 166,404,078.09/19,530
  6. Step 6: Final answer
    x = 8,520.43

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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.