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Finding the Fourth Proportional to 8,263.80, 11,326.67 and 8,206.20

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Solution

The fourth proportional to 8,263.80, 11,326.67 and 8,206.20 is: 11,247.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.80 : 11,326.67 = 8,206.20 : x
  2. Step 2: Convert to fraction form
    8,263.80/11,326.67 = 8,206.20/x
  3. Step 3: Cross multiply
    8,263.80x = 11,326.67 × 8,206.20
  4. Step 4: Simplify right side
    8,263.80x = 92,948,919.35
  5. Step 5: Solve for x
    x = 92,948,919.35/8,263.80
  6. Step 6: Final answer
    x = 11,247.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.