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Finding the Fourth Proportional to 5,493.72, 8,238.90 and 1,983.30

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Solution

The fourth proportional to 5,493.72, 8,238.90 and 1,983.30 is: 2,974.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.72 : 8,238.90 = 1,983.30 : x
  2. Step 2: Convert to fraction form
    5,493.72/8,238.90 = 1,983.30/x
  3. Step 3: Cross multiply
    5,493.72x = 8,238.90 × 1,983.30
  4. Step 4: Simplify right side
    5,493.72x = 16,340,210.37
  5. Step 5: Solve for x
    x = 16,340,210.37/5,493.72
  6. Step 6: Final answer
    x = 2,974.34

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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.