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Finding the Fourth Proportional to 3,189, 4,783.68 and 1,137

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Solution

The fourth proportional to 3,189, 4,783.68 and 1,137 is: 1,705.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189 : 4,783.68 = 1,137 : x
  2. Step 2: Convert to fraction form
    3,189/4,783.68 = 1,137/x
  3. Step 3: Cross multiply
    3,189x = 4,783.68 × 1,137
  4. Step 4: Simplify right side
    3,189x = 5,439,044.16
  5. Step 5: Solve for x
    x = 5,439,044.16/3,189
  6. Step 6: Final answer
    x = 1,705.56

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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.