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Finding the Fourth Proportional to 8,541.30, 12,813.30 and 3,276.11

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Solution

The fourth proportional to 8,541.30, 12,813.30 and 3,276.11 is: 4,914.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541.30 : 12,813.30 = 3,276.11 : x
  2. Step 2: Convert to fraction form
    8,541.30/12,813.30 = 3,276.11/x
  3. Step 3: Cross multiply
    8,541.30x = 12,813.30 × 3,276.11
  4. Step 4: Simplify right side
    8,541.30x = 41,977,716.20
  5. Step 5: Solve for x
    x = 41,977,716.20/8,541.30
  6. Step 6: Final answer
    x = 4,914.68

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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.