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Finding the Fourth Proportional to 8,460.57, 12,687.36 and 3,194.68

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Solution

The fourth proportional to 8,460.57, 12,687.36 and 3,194.68 is: 4,790.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460.57 : 12,687.36 = 3,194.68 : x
  2. Step 2: Convert to fraction form
    8,460.57/12,687.36 = 3,194.68/x
  3. Step 3: Cross multiply
    8,460.57x = 12,687.36 × 3,194.68
  4. Step 4: Simplify right side
    8,460.57x = 40,532,039.27
  5. Step 5: Solve for x
    x = 40,532,039.27/8,460.57
  6. Step 6: Final answer
    x = 4,790.70

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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.