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Finding the Fourth Proportional to 22,505.49, 33,732.86 and 13,721.13

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Solution

The fourth proportional to 22,505.49, 33,732.86 and 13,721.13 is: 20,566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,505.49 : 33,732.86 = 13,721.13 : x
  2. Step 2: Convert to fraction form
    22,505.49/33,732.86 = 13,721.13/x
  3. Step 3: Cross multiply
    22,505.49x = 33,732.86 × 13,721.13
  4. Step 4: Simplify right side
    22,505.49x = 462,852,888.73
  5. Step 5: Solve for x
    x = 462,852,888.73/22,505.49
  6. Step 6: Final answer
    x = 20,566.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.