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Finding the Fourth Proportional to 8,470.62, 12,694.19 and 3,200.22

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Solution

The fourth proportional to 8,470.62, 12,694.19 and 3,200.22 is: 4,795.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.62 : 12,694.19 = 3,200.22 : x
  2. Step 2: Convert to fraction form
    8,470.62/12,694.19 = 3,200.22/x
  3. Step 3: Cross multiply
    8,470.62x = 12,694.19 × 3,200.22
  4. Step 4: Simplify right side
    8,470.62x = 40,624,184.72
  5. Step 5: Solve for x
    x = 40,624,184.72/8,470.62
  6. Step 6: Final answer
    x = 4,795.89

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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.