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Finding the Fourth Proportional to 18,905.11, 28,361.78 and 5,757.14

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Solution

The fourth proportional to 18,905.11, 28,361.78 and 5,757.14 is: 8,636.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,905.11 : 28,361.78 = 5,757.14 : x
  2. Step 2: Convert to fraction form
    18,905.11/28,361.78 = 5,757.14/x
  3. Step 3: Cross multiply
    18,905.11x = 28,361.78 × 5,757.14
  4. Step 4: Simplify right side
    18,905.11x = 163,282,709.32
  5. Step 5: Solve for x
    x = 163,282,709.32/18,905.11
  6. Step 6: Final answer
    x = 8,636.96

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Why These Related Problems?

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