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Finding the Fourth Proportional to 22,261.72, 33,405.54 and 8,411.80

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Solution

The fourth proportional to 22,261.72, 33,405.54 and 8,411.80 is: 12,622.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,261.72 : 33,405.54 = 8,411.80 : x
  2. Step 2: Convert to fraction form
    22,261.72/33,405.54 = 8,411.80/x
  3. Step 3: Cross multiply
    22,261.72x = 33,405.54 × 8,411.80
  4. Step 4: Simplify right side
    22,261.72x = 281,000,721.37
  5. Step 5: Solve for x
    x = 281,000,721.37/22,261.72
  6. Step 6: Final answer
    x = 12,622.60

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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.