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Finding the Fourth Proportional to 8,571.75, 12,857.57 and 2,331.74

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Solution

The fourth proportional to 8,571.75, 12,857.57 and 2,331.74 is: 3,497.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.75 : 12,857.57 = 2,331.74 : x
  2. Step 2: Convert to fraction form
    8,571.75/12,857.57 = 2,331.74/x
  3. Step 3: Cross multiply
    8,571.75x = 12,857.57 × 2,331.74
  4. Step 4: Simplify right side
    8,571.75x = 29,980,462.26
  5. Step 5: Solve for x
    x = 29,980,462.26/8,571.75
  6. Step 6: Final answer
    x = 3,497.59

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1.5x scale

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.