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Finding the Fourth Proportional to 8,271, 12,408.84 and 3,339.54

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Solution

The fourth proportional to 8,271, 12,408.84 and 3,339.54 is: 5,010.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271 : 12,408.84 = 3,339.54 : x
  2. Step 2: Convert to fraction form
    8,271/12,408.84 = 3,339.54/x
  3. Step 3: Cross multiply
    8,271x = 12,408.84 × 3,339.54
  4. Step 4: Simplify right side
    8,271x = 41,439,817.53
  5. Step 5: Solve for x
    x = 41,439,817.53/8,271
  6. Step 6: Final answer
    x = 5,010.25

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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.