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Finding the Fourth Proportional to 2,793.72, 4,191.92 and 1,977.24

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Solution

The fourth proportional to 2,793.72, 4,191.92 and 1,977.24 is: 2,966.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.72 : 4,191.92 = 1,977.24 : x
  2. Step 2: Convert to fraction form
    2,793.72/4,191.92 = 1,977.24/x
  3. Step 3: Cross multiply
    2,793.72x = 4,191.92 × 1,977.24
  4. Step 4: Simplify right side
    2,793.72x = 8,288,431.90
  5. Step 5: Solve for x
    x = 8,288,431.90/2,793.72
  6. Step 6: Final answer
    x = 2,966.81

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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.