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Finding the Fourth Proportional to 19,909.31, 29,866.41 and 6,765.44

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Solution

The fourth proportional to 19,909.31, 29,866.41 and 6,765.44 is: 10,148.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,909.31 : 29,866.41 = 6,765.44 : x
  2. Step 2: Convert to fraction form
    19,909.31/29,866.41 = 6,765.44/x
  3. Step 3: Cross multiply
    19,909.31x = 29,866.41 × 6,765.44
  4. Step 4: Simplify right side
    19,909.31x = 202,059,255.54
  5. Step 5: Solve for x
    x = 202,059,255.54/19,909.31
  6. Step 6: Final answer
    x = 10,148.99

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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.