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Finding the Fourth Proportional to 8,121, 12,179.64 and 2,278.05

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Solution

The fourth proportional to 8,121, 12,179.64 and 2,278.05 is: 3,416.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121 : 12,179.64 = 2,278.05 : x
  2. Step 2: Convert to fraction form
    8,121/12,179.64 = 2,278.05/x
  3. Step 3: Cross multiply
    8,121x = 12,179.64 × 2,278.05
  4. Step 4: Simplify right side
    8,121x = 27,745,828.90
  5. Step 5: Solve for x
    x = 27,745,828.90/8,121
  6. Step 6: Final answer
    x = 3,416.55

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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.