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Finding the Fourth Proportional to 8,541.67, 12,812.00 and 3,279.20

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Solution

The fourth proportional to 8,541.67, 12,812.00 and 3,279.20 is: 4,918.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541.67 : 12,812.00 = 3,279.20 : x
  2. Step 2: Convert to fraction form
    8,541.67/12,812.00 = 3,279.20/x
  3. Step 3: Cross multiply
    8,541.67x = 12,812.00 × 3,279.20
  4. Step 4: Simplify right side
    8,541.67x = 42,013,134.23
  5. Step 5: Solve for x
    x = 42,013,134.23/8,541.67
  6. Step 6: Final answer
    x = 4,918.61

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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.