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Finding the Fourth Proportional to 5,259.94, 7,879.17 and 3,279.08

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Solution

The fourth proportional to 5,259.94, 7,879.17 and 3,279.08 is: 4,911.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.94 : 7,879.17 = 3,279.08 : x
  2. Step 2: Convert to fraction form
    5,259.94/7,879.17 = 3,279.08/x
  3. Step 3: Cross multiply
    5,259.94x = 7,879.17 × 3,279.08
  4. Step 4: Simplify right side
    5,259.94x = 25,836,428.76
  5. Step 5: Solve for x
    x = 25,836,428.76/5,259.94
  6. Step 6: Final answer
    x = 4,911.93

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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.