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Finding the Fourth Proportional to 16,371, 22,591.98 and 8,919

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Solution

The fourth proportional to 16,371, 22,591.98 and 8,919 is: 12,308.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,371 : 22,591.98 = 8,919 : x
  2. Step 2: Convert to fraction form
    16,371/22,591.98 = 8,919/x
  3. Step 3: Cross multiply
    16,371x = 22,591.98 × 8,919
  4. Step 4: Simplify right side
    16,371x = 201,497,869.62
  5. Step 5: Solve for x
    x = 201,497,869.62/16,371
  6. Step 6: Final answer
    x = 12,308.22

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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.