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Finding the Fourth Proportional to 16,609, 22,920.44 and 9,157

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Solution

The fourth proportional to 16,609, 22,920.44 and 9,157 is: 12,636.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,609 : 22,920.44 = 9,157 : x
  2. Step 2: Convert to fraction form
    16,609/22,920.44 = 9,157/x
  3. Step 3: Cross multiply
    16,609x = 22,920.44 × 9,157
  4. Step 4: Simplify right side
    16,609x = 209,882,469.08
  5. Step 5: Solve for x
    x = 209,882,469.08/16,609
  6. Step 6: Final answer
    x = 12,636.67

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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.