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Finding the Fourth Proportional to 5,493.56, 8,238.63 and 1,983.11

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Solution

The fourth proportional to 5,493.56, 8,238.63 and 1,983.11 is: 2,974.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.56 : 8,238.63 = 1,983.11 : x
  2. Step 2: Convert to fraction form
    5,493.56/8,238.63 = 1,983.11/x
  3. Step 3: Cross multiply
    5,493.56x = 8,238.63 × 1,983.11
  4. Step 4: Simplify right side
    5,493.56x = 16,338,109.54
  5. Step 5: Solve for x
    x = 16,338,109.54/5,493.56
  6. Step 6: Final answer
    x = 2,974.05

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1.5x scale

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.