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Finding the Fourth Proportional to 8,438.41, 12,659.41 and 2,890.26

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Solution

The fourth proportional to 8,438.41, 12,659.41 and 2,890.26 is: 4,336.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.41 : 12,659.41 = 2,890.26 : x
  2. Step 2: Convert to fraction form
    8,438.41/12,659.41 = 2,890.26/x
  3. Step 3: Cross multiply
    8,438.41x = 12,659.41 × 2,890.26
  4. Step 4: Simplify right side
    8,438.41x = 36,589,043.88
  5. Step 5: Solve for x
    x = 36,589,043.88/8,438.41
  6. Step 6: Final answer
    x = 4,336.01

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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.