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Finding the Fourth Proportional to 22,199.74, 30,605.79 and 21,511.78

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Solution

The fourth proportional to 22,199.74, 30,605.79 and 21,511.78 is: 29,657.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,199.74 : 30,605.79 = 21,511.78 : x
  2. Step 2: Convert to fraction form
    22,199.74/30,605.79 = 21,511.78/x
  3. Step 3: Cross multiply
    22,199.74x = 30,605.79 × 21,511.78
  4. Step 4: Simplify right side
    22,199.74x = 658,385,021.21
  5. Step 5: Solve for x
    x = 658,385,021.21/22,199.74
  6. Step 6: Final answer
    x = 29,657.33

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1.5x scale

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.