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Finding the Fourth Proportional to 11,171.40, 16,744.06 and 8,222.40

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Solution

The fourth proportional to 11,171.40, 16,744.06 and 8,222.40 is: 12,324.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,171.40 : 16,744.06 = 8,222.40 : x
  2. Step 2: Convert to fraction form
    11,171.40/16,744.06 = 8,222.40/x
  3. Step 3: Cross multiply
    11,171.40x = 16,744.06 × 8,222.40
  4. Step 4: Simplify right side
    11,171.40x = 137,676,358.94
  5. Step 5: Solve for x
    x = 137,676,358.94/11,171.40
  6. Step 6: Final answer
    x = 12,324.00

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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.