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Finding the Fourth Proportional to 19,839.74, 29,745.02 and 9,458.78

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Solution

The fourth proportional to 19,839.74, 29,745.02 and 9,458.78 is: 14,181.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,839.74 : 29,745.02 = 9,458.78 : x
  2. Step 2: Convert to fraction form
    19,839.74/29,745.02 = 9,458.78/x
  3. Step 3: Cross multiply
    19,839.74x = 29,745.02 × 9,458.78
  4. Step 4: Simplify right side
    19,839.74x = 281,351,404.26
  5. Step 5: Solve for x
    x = 281,351,404.26/19,839.74
  6. Step 6: Final answer
    x = 14,181.21

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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.