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Finding the Fourth Proportional to 9,199.78, 13,799.69 and 2,274.28

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Solution

The fourth proportional to 9,199.78, 13,799.69 and 2,274.28 is: 3,411.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.78 : 13,799.69 = 2,274.28 : x
  2. Step 2: Convert to fraction form
    9,199.78/13,799.69 = 2,274.28/x
  3. Step 3: Cross multiply
    9,199.78x = 13,799.69 × 2,274.28
  4. Step 4: Simplify right side
    9,199.78x = 31,384,358.97
  5. Step 5: Solve for x
    x = 31,384,358.97/9,199.78
  6. Step 6: Final answer
    x = 3,411.42

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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.