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Finding the Fourth Proportional to 7,806.16, 11,713.85 and 2,879.24

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Solution

The fourth proportional to 7,806.16, 11,713.85 and 2,879.24 is: 4,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.16 : 11,713.85 = 2,879.24 : x
  2. Step 2: Convert to fraction form
    7,806.16/11,713.85 = 2,879.24/x
  3. Step 3: Cross multiply
    7,806.16x = 11,713.85 × 2,879.24
  4. Step 4: Simplify right side
    7,806.16x = 33,726,985.47
  5. Step 5: Solve for x
    x = 33,726,985.47/7,806.16
  6. Step 6: Final answer
    x = 4,320.56

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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.