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Finding the Fourth Proportional to 11,164.40, 16,811.92 and 8,263.12

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Solution

The fourth proportional to 11,164.40, 16,811.92 and 8,263.12 is: 12,443.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.40 : 16,811.92 = 8,263.12 : x
  2. Step 2: Convert to fraction form
    11,164.40/16,811.92 = 8,263.12/x
  3. Step 3: Cross multiply
    11,164.40x = 16,811.92 × 8,263.12
  4. Step 4: Simplify right side
    11,164.40x = 138,918,912.39
  5. Step 5: Solve for x
    x = 138,918,912.39/11,164.40
  6. Step 6: Final answer
    x = 12,443.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.