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Finding the Fourth Proportional to 16,208, 22,369.02 and 9,135.71

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Solution

The fourth proportional to 16,208, 22,369.02 and 9,135.71 is: 12,608.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,208 : 22,369.02 = 9,135.71 : x
  2. Step 2: Convert to fraction form
    16,208/22,369.02 = 9,135.71/x
  3. Step 3: Cross multiply
    16,208x = 22,369.02 × 9,135.71
  4. Step 4: Simplify right side
    16,208x = 204,356,879.70
  5. Step 5: Solve for x
    x = 204,356,879.70/16,208
  6. Step 6: Final answer
    x = 12,608.40

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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.