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Finding the Fourth Proportional to 8,256.43, 12,384.50 and 3,325.94

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Solution

The fourth proportional to 8,256.43, 12,384.50 and 3,325.94 is: 4,988.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.43 : 12,384.50 = 3,325.94 : x
  2. Step 2: Convert to fraction form
    8,256.43/12,384.50 = 3,325.94/x
  3. Step 3: Cross multiply
    8,256.43x = 12,384.50 × 3,325.94
  4. Step 4: Simplify right side
    8,256.43x = 41,190,091.46
  5. Step 5: Solve for x
    x = 41,190,091.46/8,256.43
  6. Step 6: Final answer
    x = 4,988.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.