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Finding the Fourth Proportional to 7,805.92, 11,713.50 and 2,879.02

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Solution

The fourth proportional to 7,805.92, 11,713.50 and 2,879.02 is: 4,320.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.92 : 11,713.50 = 2,879.02 : x
  2. Step 2: Convert to fraction form
    7,805.92/11,713.50 = 2,879.02/x
  3. Step 3: Cross multiply
    7,805.92x = 11,713.50 × 2,879.02
  4. Step 4: Simplify right side
    7,805.92x = 33,723,400.77
  5. Step 5: Solve for x
    x = 33,723,400.77/7,805.92
  6. Step 6: Final answer
    x = 4,320.23

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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.