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Finding the Fourth Proportional to 5,286.70, 7,921.80 and 1,997.99

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Solution

The fourth proportional to 5,286.70, 7,921.80 and 1,997.99 is: 2,993.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.70 : 7,921.80 = 1,997.99 : x
  2. Step 2: Convert to fraction form
    5,286.70/7,921.80 = 1,997.99/x
  3. Step 3: Cross multiply
    5,286.70x = 7,921.80 × 1,997.99
  4. Step 4: Simplify right side
    5,286.70x = 15,827,677.18
  5. Step 5: Solve for x
    x = 15,827,677.18/5,286.70
  6. Step 6: Final answer
    x = 2,993.87

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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.