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Finding the Fourth Proportional to 8,521.91, 12,763.03 and 8,226.33

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Solution

The fourth proportional to 8,521.91, 12,763.03 and 8,226.33 is: 12,320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,521.91 : 12,763.03 = 8,226.33 : x
  2. Step 2: Convert to fraction form
    8,521.91/12,763.03 = 8,226.33/x
  3. Step 3: Cross multiply
    8,521.91x = 12,763.03 × 8,226.33
  4. Step 4: Simplify right side
    8,521.91x = 104,992,843.58
  5. Step 5: Solve for x
    x = 104,992,843.58/8,521.91
  6. Step 6: Final answer
    x = 12,320.34

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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.