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Finding the Fourth Proportional to 3,542.91, 5,311.96 and 1,983.98

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Solution

The fourth proportional to 3,542.91, 5,311.96 and 1,983.98 is: 2,974.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.91 : 5,311.96 = 1,983.98 : x
  2. Step 2: Convert to fraction form
    3,542.91/5,311.96 = 1,983.98/x
  3. Step 3: Cross multiply
    3,542.91x = 5,311.96 × 1,983.98
  4. Step 4: Simplify right side
    3,542.91x = 10,538,812.48
  5. Step 5: Solve for x
    x = 10,538,812.48/3,542.91
  6. Step 6: Final answer
    x = 2,974.62

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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.