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Finding the Fourth Proportional to 5,296.70, 7,947.75 and 2,179.10

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Solution

The fourth proportional to 5,296.70, 7,947.75 and 2,179.10 is: 3,269.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.70 : 7,947.75 = 2,179.10 : x
  2. Step 2: Convert to fraction form
    5,296.70/7,947.75 = 2,179.10/x
  3. Step 3: Cross multiply
    5,296.70x = 7,947.75 × 2,179.10
  4. Step 4: Simplify right side
    5,296.70x = 17,318,942.03
  5. Step 5: Solve for x
    x = 17,318,942.03/5,296.70
  6. Step 6: Final answer
    x = 3,269.76

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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.