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Finding the Fourth Proportional to 8,104.74, 12,157.11 and 3,484.50

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Solution

The fourth proportional to 8,104.74, 12,157.11 and 3,484.50 is: 5,226.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,104.74 : 12,157.11 = 3,484.50 : x
  2. Step 2: Convert to fraction form
    8,104.74/12,157.11 = 3,484.50/x
  3. Step 3: Cross multiply
    8,104.74x = 12,157.11 × 3,484.50
  4. Step 4: Simplify right side
    8,104.74x = 42,361,449.80
  5. Step 5: Solve for x
    x = 42,361,449.80/8,104.74
  6. Step 6: Final answer
    x = 5,226.75

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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.