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Finding the Fourth Proportional to 8,406.90, 12,611.88 and 3,473.86

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Solution

The fourth proportional to 8,406.90, 12,611.88 and 3,473.86 is: 5,211.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.90 : 12,611.88 = 3,473.86 : x
  2. Step 2: Convert to fraction form
    8,406.90/12,611.88 = 3,473.86/x
  3. Step 3: Cross multiply
    8,406.90x = 12,611.88 × 3,473.86
  4. Step 4: Simplify right side
    8,406.90x = 43,811,905.46
  5. Step 5: Solve for x
    x = 43,811,905.46/8,406.90
  6. Step 6: Final answer
    x = 5,211.42

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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.