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Finding the Fourth Proportional to 21,226.74, 31,844.22 and 8,078.10

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Solution

The fourth proportional to 21,226.74, 31,844.22 and 8,078.10 is: 12,118.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,226.74 : 31,844.22 = 8,078.10 : x
  2. Step 2: Convert to fraction form
    21,226.74/31,844.22 = 8,078.10/x
  3. Step 3: Cross multiply
    21,226.74x = 31,844.22 × 8,078.10
  4. Step 4: Simplify right side
    21,226.74x = 257,240,793.58
  5. Step 5: Solve for x
    x = 257,240,793.58/21,226.74
  6. Step 6: Final answer
    x = 12,118.71

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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.