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Finding the Fourth Proportional to 8,273, 12,414.54 and 3,342.12

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Solution

The fourth proportional to 8,273, 12,414.54 and 3,342.12 is: 5,015.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273 : 12,414.54 = 3,342.12 : x
  2. Step 2: Convert to fraction form
    8,273/12,414.54 = 3,342.12/x
  3. Step 3: Cross multiply
    8,273x = 12,414.54 × 3,342.12
  4. Step 4: Simplify right side
    8,273x = 41,490,882.42
  5. Step 5: Solve for x
    x = 41,490,882.42/8,273
  6. Step 6: Final answer
    x = 5,015.22

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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.