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Finding the Fourth Proportional to 8,459.10, 12,687.17 and 3,194.57

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Solution

The fourth proportional to 8,459.10, 12,687.17 and 3,194.57 is: 4,791.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,459.10 : 12,687.17 = 3,194.57 : x
  2. Step 2: Convert to fraction form
    8,459.10/12,687.17 = 3,194.57/x
  3. Step 3: Cross multiply
    8,459.10x = 12,687.17 × 3,194.57
  4. Step 4: Simplify right side
    8,459.10x = 40,530,068.41
  5. Step 5: Solve for x
    x = 40,530,068.41/8,459.10
  6. Step 6: Final answer
    x = 4,791.30

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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.