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Finding the Fourth Proportional to 8,217.94, 12,331.05 and 3,289

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Solution

The fourth proportional to 8,217.94, 12,331.05 and 3,289 is: 4,935.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.94 : 12,331.05 = 3,289 : x
  2. Step 2: Convert to fraction form
    8,217.94/12,331.05 = 3,289/x
  3. Step 3: Cross multiply
    8,217.94x = 12,331.05 × 3,289
  4. Step 4: Simplify right side
    8,217.94x = 40,556,823.45
  5. Step 5: Solve for x
    x = 40,556,823.45/8,217.94
  6. Step 6: Final answer
    x = 4,935.16

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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.