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Finding the Fourth Proportional to 5,759.68, 8,644.38 and 3,979.70

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Solution

The fourth proportional to 5,759.68, 8,644.38 and 3,979.70 is: 5,972.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.68 : 8,644.38 = 3,979.70 : x
  2. Step 2: Convert to fraction form
    5,759.68/8,644.38 = 3,979.70/x
  3. Step 3: Cross multiply
    5,759.68x = 8,644.38 × 3,979.70
  4. Step 4: Simplify right side
    5,759.68x = 34,402,039.09
  5. Step 5: Solve for x
    x = 34,402,039.09/5,759.68
  6. Step 6: Final answer
    x = 5,972.91

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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.