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Finding the Fourth Proportional to 8,187.80, 12,281.64 and 2,344.43

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Solution

The fourth proportional to 8,187.80, 12,281.64 and 2,344.43 is: 3,516.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.80 : 12,281.64 = 2,344.43 : x
  2. Step 2: Convert to fraction form
    8,187.80/12,281.64 = 2,344.43/x
  3. Step 3: Cross multiply
    8,187.80x = 12,281.64 × 2,344.43
  4. Step 4: Simplify right side
    8,187.80x = 28,793,383.86
  5. Step 5: Solve for x
    x = 28,793,383.86/8,187.80
  6. Step 6: Final answer
    x = 3,516.62

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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.