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Finding the Fourth Proportional to 8,268.01, 11,422.68 and 8,205.74

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Solution

The fourth proportional to 8,268.01, 11,422.68 and 8,205.74 is: 11,336.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268.01 : 11,422.68 = 8,205.74 : x
  2. Step 2: Convert to fraction form
    8,268.01/11,422.68 = 8,205.74/x
  3. Step 3: Cross multiply
    8,268.01x = 11,422.68 × 8,205.74
  4. Step 4: Simplify right side
    8,268.01x = 93,731,447.76
  5. Step 5: Solve for x
    x = 93,731,447.76/8,268.01
  6. Step 6: Final answer
    x = 11,336.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.