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Finding the Fourth Proportional to 7,494.78, 11,244.24 and 3,278.43

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Solution

The fourth proportional to 7,494.78, 11,244.24 and 3,278.43 is: 4,918.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.78 : 11,244.24 = 3,278.43 : x
  2. Step 2: Convert to fraction form
    7,494.78/11,244.24 = 3,278.43/x
  3. Step 3: Cross multiply
    7,494.78x = 11,244.24 × 3,278.43
  4. Step 4: Simplify right side
    7,494.78x = 36,863,453.74
  5. Step 5: Solve for x
    x = 36,863,453.74/7,494.78
  6. Step 6: Final answer
    x = 4,918.55

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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.