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Finding the Fourth Proportional to 19,676, 29,519.78 and 5,825.36

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Solution

The fourth proportional to 19,676, 29,519.78 and 5,825.36 is: 8,739.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,676 : 29,519.78 = 5,825.36 : x
  2. Step 2: Convert to fraction form
    19,676/29,519.78 = 5,825.36/x
  3. Step 3: Cross multiply
    19,676x = 29,519.78 × 5,825.36
  4. Step 4: Simplify right side
    19,676x = 171,963,345.62
  5. Step 5: Solve for x
    x = 171,963,345.62/19,676
  6. Step 6: Final answer
    x = 8,739.75

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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.