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Finding the Fourth Proportional to 8,235.40, 12,257.04 and 8,209.80

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Solution

The fourth proportional to 8,235.40, 12,257.04 and 8,209.80 is: 12,218.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.40 : 12,257.04 = 8,209.80 : x
  2. Step 2: Convert to fraction form
    8,235.40/12,257.04 = 8,209.80/x
  3. Step 3: Cross multiply
    8,235.40x = 12,257.04 × 8,209.80
  4. Step 4: Simplify right side
    8,235.40x = 100,627,846.99
  5. Step 5: Solve for x
    x = 100,627,846.99/8,235.40
  6. Step 6: Final answer
    x = 12,218.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.