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Finding the Fourth Proportional to 9,822.20, 14,717.10 and 8,169.80

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Solution

The fourth proportional to 9,822.20, 14,717.10 and 8,169.80 is: 12,241.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.20 : 14,717.10 = 8,169.80 : x
  2. Step 2: Convert to fraction form
    9,822.20/14,717.10 = 8,169.80/x
  3. Step 3: Cross multiply
    9,822.20x = 14,717.10 × 8,169.80
  4. Step 4: Simplify right side
    9,822.20x = 120,235,763.58
  5. Step 5: Solve for x
    x = 120,235,763.58/9,822.20
  6. Step 6: Final answer
    x = 12,241.23

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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.