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Finding the Fourth Proportional to 8,216, 12,323.81 and 2,292.73

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Solution

The fourth proportional to 8,216, 12,323.81 and 2,292.73 is: 3,439.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216 : 12,323.81 = 2,292.73 : x
  2. Step 2: Convert to fraction form
    8,216/12,323.81 = 2,292.73/x
  3. Step 3: Cross multiply
    8,216x = 12,323.81 × 2,292.73
  4. Step 4: Simplify right side
    8,216x = 28,255,168.90
  5. Step 5: Solve for x
    x = 28,255,168.90/8,216
  6. Step 6: Final answer
    x = 3,439.04

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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.