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Finding the Fourth Proportional to 19,805, 29,720.46 and 7,493

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Solution

The fourth proportional to 19,805, 29,720.46 and 7,493 is: 11,244.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,805 : 29,720.46 = 7,493 : x
  2. Step 2: Convert to fraction form
    19,805/29,720.46 = 7,493/x
  3. Step 3: Cross multiply
    19,805x = 29,720.46 × 7,493
  4. Step 4: Simplify right side
    19,805x = 222,695,406.78
  5. Step 5: Solve for x
    x = 222,695,406.78/19,805
  6. Step 6: Final answer
    x = 11,244.40

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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.