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Finding the Fourth Proportional to 22,355, 30,849.96 and 12,419

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Solution

The fourth proportional to 22,355, 30,849.96 and 12,419 is: 17,138.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,355 : 30,849.96 = 12,419 : x
  2. Step 2: Convert to fraction form
    22,355/30,849.96 = 12,419/x
  3. Step 3: Cross multiply
    22,355x = 30,849.96 × 12,419
  4. Step 4: Simplify right side
    22,355x = 383,125,653.24
  5. Step 5: Solve for x
    x = 383,125,653.24/22,355
  6. Step 6: Final answer
    x = 17,138.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.