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Finding the Fourth Proportional to 22,235.99, 30,680.78 and 13,282.11

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Solution

The fourth proportional to 22,235.99, 30,680.78 and 13,282.11 is: 18,326.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,235.99 : 30,680.78 = 13,282.11 : x
  2. Step 2: Convert to fraction form
    22,235.99/30,680.78 = 13,282.11/x
  3. Step 3: Cross multiply
    22,235.99x = 30,680.78 × 13,282.11
  4. Step 4: Simplify right side
    22,235.99x = 407,505,428.44
  5. Step 5: Solve for x
    x = 407,505,428.44/22,235.99
  6. Step 6: Final answer
    x = 18,326.39

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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.