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Finding the Fourth Proportional to 22,371, 30,872 and 12,435

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Solution

The fourth proportional to 22,371, 30,872 and 12,435 is: 17,160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,371 : 30,872 = 12,435 : x
  2. Step 2: Convert to fraction form
    22,371/30,872 = 12,435/x
  3. Step 3: Cross multiply
    22,371x = 30,872 × 12,435
  4. Step 4: Simplify right side
    22,371x = 383,893,320
  5. Step 5: Solve for x
    x = 383,893,320/22,371
  6. Step 6: Final answer
    x = 17,160.31

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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.