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Finding the Fourth Proportional to 10,853.21, 16,257.97 and 8,225.21

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Solution

The fourth proportional to 10,853.21, 16,257.97 and 8,225.21 is: 12,321.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.21 : 16,257.97 = 8,225.21 : x
  2. Step 2: Convert to fraction form
    10,853.21/16,257.97 = 8,225.21/x
  3. Step 3: Cross multiply
    10,853.21x = 16,257.97 × 8,225.21
  4. Step 4: Simplify right side
    10,853.21x = 133,725,217.42
  5. Step 5: Solve for x
    x = 133,725,217.42/10,853.21
  6. Step 6: Final answer
    x = 12,321.26

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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.