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Finding the Fourth Proportional to 8,212.64, 12,320.76 and 2,666.54

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Solution

The fourth proportional to 8,212.64, 12,320.76 and 2,666.54 is: 4,000.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.64 : 12,320.76 = 2,666.54 : x
  2. Step 2: Convert to fraction form
    8,212.64/12,320.76 = 2,666.54/x
  3. Step 3: Cross multiply
    8,212.64x = 12,320.76 × 2,666.54
  4. Step 4: Simplify right side
    8,212.64x = 32,853,799.37
  5. Step 5: Solve for x
    x = 32,853,799.37/8,212.64
  6. Step 6: Final answer
    x = 4,000.39

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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.