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Finding the Fourth Proportional to 2,134.38, 3,203 and 747.72

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Solution

The fourth proportional to 2,134.38, 3,203 and 747.72 is: 1,122.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.38 : 3,203 = 747.72 : x
  2. Step 2: Convert to fraction form
    2,134.38/3,203 = 747.72/x
  3. Step 3: Cross multiply
    2,134.38x = 3,203 × 747.72
  4. Step 4: Simplify right side
    2,134.38x = 2,394,947.16
  5. Step 5: Solve for x
    x = 2,394,947.16/2,134.38
  6. Step 6: Final answer
    x = 1,122.08

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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.