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Finding the Fourth Proportional to 8,111.66, 12,169.52 and 2,268.22

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Solution

The fourth proportional to 8,111.66, 12,169.52 and 2,268.22 is: 3,402.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.66 : 12,169.52 = 2,268.22 : x
  2. Step 2: Convert to fraction form
    8,111.66/12,169.52 = 2,268.22/x
  3. Step 3: Cross multiply
    8,111.66x = 12,169.52 × 2,268.22
  4. Step 4: Simplify right side
    8,111.66x = 27,603,137.31
  5. Step 5: Solve for x
    x = 27,603,137.31/8,111.66
  6. Step 6: Final answer
    x = 3,402.90

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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.