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Finding the Fourth Proportional to 7,886.26, 11,816.16 and 3,932.11

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Solution

The fourth proportional to 7,886.26, 11,816.16 and 3,932.11 is: 5,891.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.26 : 11,816.16 = 3,932.11 : x
  2. Step 2: Convert to fraction form
    7,886.26/11,816.16 = 3,932.11/x
  3. Step 3: Cross multiply
    7,886.26x = 11,816.16 × 3,932.11
  4. Step 4: Simplify right side
    7,886.26x = 46,462,440.90
  5. Step 5: Solve for x
    x = 46,462,440.90/7,886.26
  6. Step 6: Final answer
    x = 5,891.57

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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.