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Finding the Fourth Proportional to 8,221, 12,332.72 and 2,672.48

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Solution

The fourth proportional to 8,221, 12,332.72 and 2,672.48 is: 4,009.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221 : 12,332.72 = 2,672.48 : x
  2. Step 2: Convert to fraction form
    8,221/12,332.72 = 2,672.48/x
  3. Step 3: Cross multiply
    8,221x = 12,332.72 × 2,672.48
  4. Step 4: Simplify right side
    8,221x = 32,958,947.55
  5. Step 5: Solve for x
    x = 32,958,947.55/8,221
  6. Step 6: Final answer
    x = 4,009.12

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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.