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Finding the Fourth Proportional to 8,571.42, 12,857.54 and 2,648.43

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Solution

The fourth proportional to 8,571.42, 12,857.54 and 2,648.43 is: 3,972.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.42 : 12,857.54 = 2,648.43 : x
  2. Step 2: Convert to fraction form
    8,571.42/12,857.54 = 2,648.43/x
  3. Step 3: Cross multiply
    8,571.42x = 12,857.54 × 2,648.43
  4. Step 4: Simplify right side
    8,571.42x = 34,052,281.42
  5. Step 5: Solve for x
    x = 34,052,281.42/8,571.42
  6. Step 6: Final answer
    x = 3,972.77

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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.