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Finding the Fourth Proportional to 8,571.92, 12,865.16 and 3,381.44

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Solution

The fourth proportional to 8,571.92, 12,865.16 and 3,381.44 is: 5,075.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.92 : 12,865.16 = 3,381.44 : x
  2. Step 2: Convert to fraction form
    8,571.92/12,865.16 = 3,381.44/x
  3. Step 3: Cross multiply
    8,571.92x = 12,865.16 × 3,381.44
  4. Step 4: Simplify right side
    8,571.92x = 43,502,766.63
  5. Step 5: Solve for x
    x = 43,502,766.63/8,571.92
  6. Step 6: Final answer
    x = 5,075.03

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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.