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Finding the Fourth Proportional to 8,269.96, 12,406.96 and 4,111.92

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Solution

The fourth proportional to 8,269.96, 12,406.96 and 4,111.92 is: 6,168.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.96 : 12,406.96 = 4,111.92 : x
  2. Step 2: Convert to fraction form
    8,269.96/12,406.96 = 4,111.92/x
  3. Step 3: Cross multiply
    8,269.96x = 12,406.96 × 4,111.92
  4. Step 4: Simplify right side
    8,269.96x = 51,016,426.96
  5. Step 5: Solve for x
    x = 51,016,426.96/8,269.96
  6. Step 6: Final answer
    x = 6,168.88

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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.