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Finding the Fourth Proportional to 19,591, 29,377.40 and 7,109.44

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Solution

The fourth proportional to 19,591, 29,377.40 and 7,109.44 is: 10,660.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,591 : 29,377.40 = 7,109.44 : x
  2. Step 2: Convert to fraction form
    19,591/29,377.40 = 7,109.44/x
  3. Step 3: Cross multiply
    19,591x = 29,377.40 × 7,109.44
  4. Step 4: Simplify right side
    19,591x = 208,856,862.66
  5. Step 5: Solve for x
    x = 208,856,862.66/19,591
  6. Step 6: Final answer
    x = 10,660.86

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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.