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Finding the Fourth Proportional to 8,270.40, 12,405.60 and 8,212.80

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Solution

The fourth proportional to 8,270.40, 12,405.60 and 8,212.80 is: 12,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.40 : 12,405.60 = 8,212.80 : x
  2. Step 2: Convert to fraction form
    8,270.40/12,405.60 = 8,212.80/x
  3. Step 3: Cross multiply
    8,270.40x = 12,405.60 × 8,212.80
  4. Step 4: Simplify right side
    8,270.40x = 101,884,711.68
  5. Step 5: Solve for x
    x = 101,884,711.68/8,270.40
  6. Step 6: Final answer
    x = 12,319.20

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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.