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Finding the Fourth Proportional to 8,311.86, 12,454.05 and 7,454.34

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Solution

The fourth proportional to 8,311.86, 12,454.05 and 7,454.34 is: 11,169.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.86 : 12,454.05 = 7,454.34 : x
  2. Step 2: Convert to fraction form
    8,311.86/12,454.05 = 7,454.34/x
  3. Step 3: Cross multiply
    8,311.86x = 12,454.05 × 7,454.34
  4. Step 4: Simplify right side
    8,311.86x = 92,836,723.08
  5. Step 5: Solve for x
    x = 92,836,723.08/8,311.86
  6. Step 6: Final answer
    x = 11,169.19

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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.