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Finding the Fourth Proportional to 22,115.22, 30,523.22 and 12,556

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Solution

The fourth proportional to 22,115.22, 30,523.22 and 12,556 is: 17,329.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,115.22 : 30,523.22 = 12,556 : x
  2. Step 2: Convert to fraction form
    22,115.22/30,523.22 = 12,556/x
  3. Step 3: Cross multiply
    22,115.22x = 30,523.22 × 12,556
  4. Step 4: Simplify right side
    22,115.22x = 383,249,487.54
  5. Step 5: Solve for x
    x = 383,249,487.54/22,115.22
  6. Step 6: Final answer
    x = 17,329.67

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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.