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Finding the Fourth Proportional to 8,262.81, 12,383.24 and 3,871.04

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Solution

The fourth proportional to 8,262.81, 12,383.24 and 3,871.04 is: 5,801.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.81 : 12,383.24 = 3,871.04 : x
  2. Step 2: Convert to fraction form
    8,262.81/12,383.24 = 3,871.04/x
  3. Step 3: Cross multiply
    8,262.81x = 12,383.24 × 3,871.04
  4. Step 4: Simplify right side
    8,262.81x = 47,935,936.10
  5. Step 5: Solve for x
    x = 47,935,936.10/8,262.81
  6. Step 6: Final answer
    x = 5,801.41

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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.