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Finding the Fourth Proportional to 5,321.80, 7,979.97 and 2,858.69

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Solution

The fourth proportional to 5,321.80, 7,979.97 and 2,858.69 is: 4,286.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.80 : 7,979.97 = 2,858.69 : x
  2. Step 2: Convert to fraction form
    5,321.80/7,979.97 = 2,858.69/x
  3. Step 3: Cross multiply
    5,321.80x = 7,979.97 × 2,858.69
  4. Step 4: Simplify right side
    5,321.80x = 22,812,275.03
  5. Step 5: Solve for x
    x = 22,812,275.03/5,321.80
  6. Step 6: Final answer
    x = 4,286.57

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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.