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Finding the Fourth Proportional to 8,212.62, 12,325.32 and 5,731.32

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Solution

The fourth proportional to 8,212.62, 12,325.32 and 5,731.32 is: 8,601.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.62 : 12,325.32 = 5,731.32 : x
  2. Step 2: Convert to fraction form
    8,212.62/12,325.32 = 5,731.32/x
  3. Step 3: Cross multiply
    8,212.62x = 12,325.32 × 5,731.32
  4. Step 4: Simplify right side
    8,212.62x = 70,640,353.02
  5. Step 5: Solve for x
    x = 70,640,353.02/8,212.62
  6. Step 6: Final answer
    x = 8,601.44

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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.