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Finding the Fourth Proportional to 8,164.90, 12,241.50 and 3,420.88

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Solution

The fourth proportional to 8,164.90, 12,241.50 and 3,420.88 is: 5,128.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.90 : 12,241.50 = 3,420.88 : x
  2. Step 2: Convert to fraction form
    8,164.90/12,241.50 = 3,420.88/x
  3. Step 3: Cross multiply
    8,164.90x = 12,241.50 × 3,420.88
  4. Step 4: Simplify right side
    8,164.90x = 41,876,702.52
  5. Step 5: Solve for x
    x = 41,876,702.52/8,164.90
  6. Step 6: Final answer
    x = 5,128.87

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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.