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Finding the Fourth Proportional to 16,421, 22,660.98 and 8,969

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Solution

The fourth proportional to 16,421, 22,660.98 and 8,969 is: 12,377.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,421 : 22,660.98 = 8,969 : x
  2. Step 2: Convert to fraction form
    16,421/22,660.98 = 8,969/x
  3. Step 3: Cross multiply
    16,421x = 22,660.98 × 8,969
  4. Step 4: Simplify right side
    16,421x = 203,246,329.62
  5. Step 5: Solve for x
    x = 203,246,329.62/16,421
  6. Step 6: Final answer
    x = 12,377.22

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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.