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Finding the Fourth Proportional to 19,793, 29,702.46 and 7,481

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Solution

The fourth proportional to 19,793, 29,702.46 and 7,481 is: 11,226.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,793 : 29,702.46 = 7,481 : x
  2. Step 2: Convert to fraction form
    19,793/29,702.46 = 7,481/x
  3. Step 3: Cross multiply
    19,793x = 29,702.46 × 7,481
  4. Step 4: Simplify right side
    19,793x = 222,204,103.26
  5. Step 5: Solve for x
    x = 222,204,103.26/19,793
  6. Step 6: Final answer
    x = 11,226.40

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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.