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Finding the Fourth Proportional to 8,571.41, 12,864.42 and 3,380.93

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Solution

The fourth proportional to 8,571.41, 12,864.42 and 3,380.93 is: 5,074.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.41 : 12,864.42 = 3,380.93 : x
  2. Step 2: Convert to fraction form
    8,571.41/12,864.42 = 3,380.93/x
  3. Step 3: Cross multiply
    8,571.41x = 12,864.42 × 3,380.93
  4. Step 4: Simplify right side
    8,571.41x = 43,493,703.51
  5. Step 5: Solve for x
    x = 43,493,703.51/8,571.41
  6. Step 6: Final answer
    x = 5,074.28

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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.