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Finding the Fourth Proportional to 7,871.91, 11,806.16 and 2,324.31

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Solution

The fourth proportional to 7,871.91, 11,806.16 and 2,324.31 is: 3,485.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.91 : 11,806.16 = 2,324.31 : x
  2. Step 2: Convert to fraction form
    7,871.91/11,806.16 = 2,324.31/x
  3. Step 3: Cross multiply
    7,871.91x = 11,806.16 × 2,324.31
  4. Step 4: Simplify right side
    7,871.91x = 27,441,164.13
  5. Step 5: Solve for x
    x = 27,441,164.13/7,871.91
  6. Step 6: Final answer
    x = 3,485.96

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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.