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Finding the Fourth Proportional to 6,274.88, 9,405.16 and 2,939.64

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Solution

The fourth proportional to 6,274.88, 9,405.16 and 2,939.64 is: 4,406.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.88 : 9,405.16 = 2,939.64 : x
  2. Step 2: Convert to fraction form
    6,274.88/9,405.16 = 2,939.64/x
  3. Step 3: Cross multiply
    6,274.88x = 9,405.16 × 2,939.64
  4. Step 4: Simplify right side
    6,274.88x = 27,647,784.54
  5. Step 5: Solve for x
    x = 27,647,784.54/6,274.88
  6. Step 6: Final answer
    x = 4,406.11

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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.