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Finding the Fourth Proportional to 8,855.92, 12,226.08 and 5,320

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Solution

The fourth proportional to 8,855.92, 12,226.08 and 5,320 is: 7,344.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,855.92 : 12,226.08 = 5,320 : x
  2. Step 2: Convert to fraction form
    8,855.92/12,226.08 = 5,320/x
  3. Step 3: Cross multiply
    8,855.92x = 12,226.08 × 5,320
  4. Step 4: Simplify right side
    8,855.92x = 65,042,745.60
  5. Step 5: Solve for x
    x = 65,042,745.60/8,855.92
  6. Step 6: Final answer
    x = 7,344.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.