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Finding the Fourth Proportional to 5,279.93, 7,917.78 and 1,991.23

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Solution

The fourth proportional to 5,279.93, 7,917.78 and 1,991.23 is: 2,986.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,279.93 : 7,917.78 = 1,991.23 : x
  2. Step 2: Convert to fraction form
    5,279.93/7,917.78 = 1,991.23/x
  3. Step 3: Cross multiply
    5,279.93x = 7,917.78 × 1,991.23
  4. Step 4: Simplify right side
    5,279.93x = 15,766,136.48
  5. Step 5: Solve for x
    x = 15,766,136.48/5,279.93
  6. Step 6: Final answer
    x = 2,986.05

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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.