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Finding the Fourth Proportional to 19,926, 29,892.78 and 7,454.79

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Solution

The fourth proportional to 19,926, 29,892.78 and 7,454.79 is: 11,183.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,926 : 29,892.78 = 7,454.79 : x
  2. Step 2: Convert to fraction form
    19,926/29,892.78 = 7,454.79/x
  3. Step 3: Cross multiply
    19,926x = 29,892.78 × 7,454.79
  4. Step 4: Simplify right side
    19,926x = 222,844,397.42
  5. Step 5: Solve for x
    x = 222,844,397.42/19,926
  6. Step 6: Final answer
    x = 11,183.60

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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.